What is the Greatest Common Factor of 35968 and 35974?

Greatest common factor (GCF) of 35968 and 35974 is 2.

GCF(35968,35974) = 2

We will now calculate the prime factors of 35968 and 35974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35968 and 35974.

How to find the GCF of 35968 and 35974?

We will first find the prime factorization of 35968 and 35974. After we will calculate the factors of 35968 and 35974 and find the biggest common factor number .

Step-1: Prime Factorization of 35968

Prime factors of 35968 are 2, 281. Prime factorization of 35968 in exponential form is:

35968 = 2⁷ × 281¹

Step-2: Prime Factorization of 35974

Prime factors of 35974 are 2, 17987. Prime factorization of 35974 in exponential form is:

35974 = 2¹ × 17987¹

Step-3: Factors of 35968

List of positive integer factors of 35968 that divides 35968 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 281, 562, 1124, 2248, 4496, 8992, 17984

Step-4: Factors of 35974

List of positive integer factors of 35974 that divides 35968 without a remainder.

1, 2, 17987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35968 and 35974. The biggest common factor number is the GCF number.
So the greatest common factor 35968 and 35974 is 2.

Also check out the Least Common Multiple of 35968 and 35974