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The GCF of 30 and 35 is 5.
One way to approach this is to look at the difference between 30 and 35, which is 5. The greatest common factor of two numbers cannot be larger than the difference between the two numbers. Since both 30 and 35 are divisible by 5, the greatest common factor is 5.
Another way to determine the greatest common factor is to find all the factors of the numbers and compare them.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
The factors of 35 are 1, 5, 7, and 35.
The common factors are 1 and 5. Therefore, the greatest common factor is 5.
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 30 are 2, 3, and 5.
The prime factors of 35 are 5 and 7.
The prime factors in common are a single 5, so the greatest common factor is 5.
The GCF is 5.
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