What is the Greatest Common Factor of 35594 and 35612?

Greatest common factor (GCF) of 35594 and 35612 is 2.

GCF(35594,35612) = 2

We will now calculate the prime factors of 35594 and 35612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35594 and 35612.

How to find the GCF of 35594 and 35612?

We will first find the prime factorization of 35594 and 35612. After we will calculate the factors of 35594 and 35612 and find the biggest common factor number .

Step-1: Prime Factorization of 35594

Prime factors of 35594 are 2, 13, 37. Prime factorization of 35594 in exponential form is:

35594 = 2¹ × 13¹ × 37²

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 35594

List of positive integer factors of 35594 that divides 35594 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962, 1369, 2738, 17797

Step-4: Factors of 35612

List of positive integer factors of 35612 that divides 35594 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 35594 and 35612. The biggest common factor number is the GCF number.
So the greatest common factor 35594 and 35612 is 2.

Also check out the Least Common Multiple of 35594 and 35612