What is the Greatest Common Factor of 35964 and 35968?

Greatest common factor (GCF) of 35964 and 35968 is 4.

GCF(35964,35968) = 4

We will now calculate the prime factors of 35964 and 35968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35964 and 35968.

How to find the GCF of 35964 and 35968?

We will first find the prime factorization of 35964 and 35968. After we will calculate the factors of 35964 and 35968 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 35968

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

35968 = 2⁷ × 281¹

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 35968

List of positive integer factors of 35968 that divides 35964 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35964 and 35968. The biggest common factor number is the GCF number.
So the greatest common factor 35964 and 35968 is 4.

Also check out the Least Common Multiple of 35964 and 35968