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The GCF of 21 and 44 is 1.
The only proper divisors of 21 are 3 and 7.
The only proper divisors of 44 are 2,4 and 11.
So, could it be that there are no common factors?
No! We forgot about 1 which is a divisor of every number.
1 is the only common factor of 21 and 44, so it has to be the greatest.
Rule: if nothing else divides two numbers the greatest common factor is 1.
We say such numbers are relatively prime to each other.
21 is relatively prime to 44 and 44 is relatively prime to 21 but neither number is prime.
Exercise : Prove : If p and q are two different primes, then p and q are relatively prime.
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What is the greatest common factor of 21 30 and 44?
21 = 3 x 7 30 = 2 x 3 x 5 44 = 2 x 2 x 11 GCF = 1
What is the greatest common factor of 24 and 44?
The Greatest common factor of 44 and 24 is 4.Factors of 44: 1,4,11,22,44Factors of 24: 1,2,3,4,6,7,12,24The Greatest common factor of 44 and 24 is 4.
What is the greatest common factor of 14 and 44?
The Greatest Common Factor of 14 and 44 is two.hat is the greatest comman factor for 44 and 14
What is the greatest common factor of 18 and 44?
The greatest common factor for 18 and 44 is 2.2
What are the common factors and greatest common factor of 44?
Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as ??, 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. The factors of 44 are 1, 2, 4, 11, 22, and 44. Examples: The common factors of 11 and 44 are 1 and 11; the greatest common factor is 11. The common factors of 18 and 44 are 1 and 2; the greatest common factor is 2. The common factors of 44 and 55 are 1 and 11; the greatest common factor is 11. The common factors of 44 and 66 are 1, 2, 11, and 22; the greatest common factor is 22. The common factors of 44 and 132 are 1, 2, 4, 11, 22, and 44; the greatest common factor is 44. The common factors of 44 and 136 are 1, 2, and 4; the greatest common factor is 4.
