What is the Greatest Common Factor of 35596 and 35612?

Greatest common factor (GCF) of 35596 and 35612 is 4.

GCF(35596,35612) = 4

We will now calculate the prime factors of 35596 and 35612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35596 and 35612.

How to find the GCF of 35596 and 35612?

We will first find the prime factorization of 35596 and 35612. After we will calculate the factors of 35596 and 35612 and find the biggest common factor number .

Step-1: Prime Factorization of 35596

Prime factors of 35596 are 2, 11, 809. Prime factorization of 35596 in exponential form is:

35596 = 2² × 11¹ × 809¹

Step-2: Prime Factorization of 35612

Prime factors of 35612 are 2, 29, 307. Prime factorization of 35612 in exponential form is:

35612 = 2² × 29¹ × 307¹

Step-3: Factors of 35596

List of positive integer factors of 35596 that divides 35596 without a remainder.

1, 2, 4, 11, 22, 44, 809, 1618, 3236, 8899, 17798

Step-4: Factors of 35612

List of positive integer factors of 35612 that divides 35596 without a remainder.

1, 2, 4, 29, 58, 116, 307, 614, 1228, 8903, 17806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35596 and 35612. The biggest common factor number is the GCF number.
So the greatest common factor 35596 and 35612 is 4.

Also check out the Least Common Multiple of 35596 and 35612