The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 70, 98, and 154 is 14.
The GCF is 7.
Answer: 1. One way to determine the greatest common factor is to find all the factors of the numbers and compare them.The factors of 25 are 1, 5, and 25.The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factors of 25 are 5 and 5.The prime factors of 42 are 2, 3, and 7.There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.Another way to approach this is to look at the difference between 25 and 42, which is 17. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference between the numbers. Since 17 is a prime number, the greatest common factor must be either 1 or 17. Neither 25 nor 42 are divisible by 17, so the greatest common factor is 1. This is a useful shortcut if you notice that the difference between the two numbers is a prime number.
The greatest common factor of 133 and 203 is 7
The greatest common factor is 5, so 15/35 = 3/7. 3 and 7 are prime; this cannot be reduced any further.
The greatest common denominator is infinite.
The prime factors of 28n are 2, 2, 7, and n. The prime factors of 35 are 5 and 7. The common prime factor that is known is 7. If n is 5 or a multiple of 5, the common prime factors are 5 and 7. There are two possibilities: - If n is not 5 or a multiple of 5, the greatest common factor is 7. - If n is 5 or a multiple of 5, the greatest common factor is 5 x 7 = 35.
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The factors of 7 are 1, 7 The factors of 25 are 1, 5, 25 → The common factor(s) of 7 and 25 is (are): 1 → greatest common factor is 1.
The GCF of 5 and 7 is 1. 5 and 7 are primes, so their only factors are 1 and themselves. This also means they are relatively prime, meaning the greatest factor in common is 1. All of this implies the GCF is 1.
The greatest common factor is 7
7 is the greatest common factor.
80= 2*2*2*2*5 35= 5*7 The only factor they have in common is 5, so the answer is 5.
The greatest common factor of a number is the biggest number that will divide wholly into both numbers. For your example with the two numbers being 5 and 35, the greatest common factor is 5. 5 / 5 = 1 35 / 5 = 7 5 is a factor of 35, so it is their GCF.
Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 35, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 10 and 35 are 1 and 5; the greatest common factor is 5. The common factors of 21 and 35 are 1 and 7; the greatest common factor is 7. The common factors of 35 and 45 are 1 and 5; the greatest common factor is 5. The common factors of 35 and 49 are 1 and 7; the greatest common factor is 7. The common factors of 35 and 61 are only 1; the greatest common factor is 1.
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