What is the Greatest Common Factor of 35072 and 35076?

Greatest common factor (GCF) of 35072 and 35076 is 4.

GCF(35072,35076) = 4

We will now calculate the prime factors of 35072 and 35076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35072 and 35076.

How to find the GCF of 35072 and 35076?

We will first find the prime factorization of 35072 and 35076. After we will calculate the factors of 35072 and 35076 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 35076

Prime factors of 35076 are 2, 3, 37, 79. Prime factorization of 35076 in exponential form is:

35076 = 2² × 3¹ × 37¹ × 79¹

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 35076

List of positive integer factors of 35076 that divides 35072 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 79, 111, 148, 158, 222, 237, 316, 444, 474, 948, 2923, 5846, 8769, 11692, 17538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35072 and 35076. The biggest common factor number is the GCF number.
So the greatest common factor 35072 and 35076 is 4.

Also check out the Least Common Multiple of 35072 and 35076