What is the Greatest Common Factor of 35952 and 35964?

Greatest common factor (GCF) of 35952 and 35964 is 12.

GCF(35952,35964) = 12

We will now calculate the prime factors of 35952 and 35964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35952 and 35964.

How to find the GCF of 35952 and 35964?

We will first find the prime factorization of 35952 and 35964. After we will calculate the factors of 35952 and 35964 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 35964

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

35964 = 2² × 3⁵ × 37¹

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 35964

List of positive integer factors of 35964 that divides 35952 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35952 and 35964. The biggest common factor number is the GCF number.
So the greatest common factor 35952 and 35964 is 12.

Also check out the Least Common Multiple of 35952 and 35964