What is the Greatest Common Factor of 35072 and 35080?

Greatest common factor (GCF) of 35072 and 35080 is 8.

GCF(35072,35080) = 8

We will now calculate the prime factors of 35072 and 35080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35072 and 35080.

How to find the GCF of 35072 and 35080?

We will first find the prime factorization of 35072 and 35080. After we will calculate the factors of 35072 and 35080 and find the biggest common factor number .

Step-1: Prime Factorization of 35072

Prime factors of 35072 are 2, 137. Prime factorization of 35072 in exponential form is:

35072 = 2⁸ × 137¹

Step-2: Prime Factorization of 35080

Prime factors of 35080 are 2, 5, 877. Prime factorization of 35080 in exponential form is:

35080 = 2³ × 5¹ × 877¹

Step-3: Factors of 35072

List of positive integer factors of 35072 that divides 35072 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 137, 256, 274, 548, 1096, 2192, 4384, 8768, 17536

Step-4: Factors of 35080

List of positive integer factors of 35080 that divides 35072 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 877, 1754, 3508, 4385, 7016, 8770, 17540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35072 and 35080. The biggest common factor number is the GCF number.
So the greatest common factor 35072 and 35080 is 8.

Also check out the Least Common Multiple of 35072 and 35080