What is the Greatest Common Factor of 35964 and 35974?

Greatest common factor (GCF) of 35964 and 35974 is 2.

GCF(35964,35974) = 2

We will now calculate the prime factors of 35964 and 35974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35964 and 35974.

How to find the GCF of 35964 and 35974?

We will first find the prime factorization of 35964 and 35974. After we will calculate the factors of 35964 and 35974 and find the biggest common factor number .

Step-1: Prime Factorization of 35964

Prime factors of 35964 are 2, 3, 37. Prime factorization of 35964 in exponential form is:

35964 = 2² × 3⁵ × 37¹

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 35964

List of positive integer factors of 35964 that divides 35964 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 81, 108, 111, 148, 162, 222, 243, 324, 333, 444, 486, 666, 972, 999, 1332, 1998, 2997, 3996, 5994, 8991, 11988, 17982

Step-4: Factors of 35974

List of positive integer factors of 35974 that divides 35964 without a remainder.

1, 2, 17987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35964 and 35974. The biggest common factor number is the GCF number.
So the greatest common factor 35964 and 35974 is 2.

Also check out the Least Common Multiple of 35964 and 35974