What is the Greatest Common Factor of 35952 and 35968?

Greatest common factor (GCF) of 35952 and 35968 is 16.

GCF(35952,35968) = 16

We will now calculate the prime factors of 35952 and 35968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35952 and 35968.

How to find the GCF of 35952 and 35968?

We will first find the prime factorization of 35952 and 35968. After we will calculate the factors of 35952 and 35968 and find the biggest common factor number .

Step-1: Prime Factorization of 35952

Prime factors of 35952 are 2, 3, 7, 107. Prime factorization of 35952 in exponential form is:

35952 = 2⁴ × 3¹ × 7¹ × 107¹

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 35952

List of positive integer factors of 35952 that divides 35952 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 107, 112, 168, 214, 321, 336, 428, 642, 749, 856, 1284, 1498, 1712, 2247, 2568, 2996, 4494, 5136, 5992, 8988, 11984, 17976

Step-4: Factors of 35968

List of positive integer factors of 35968 that divides 35952 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 35952 and 35968. The biggest common factor number is the GCF number.
So the greatest common factor 35952 and 35968 is 16.

Also check out the Least Common Multiple of 35952 and 35968