What is the Greatest Common Factor of 35936 and 35952?

Greatest common factor (GCF) of 35936 and 35952 is 16.

GCF(35936,35952) = 16

We will now calculate the prime factors of 35936 and 35952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35936 and 35952.

How to find the GCF of 35936 and 35952?

We will first find the prime factorization of 35936 and 35952. After we will calculate the factors of 35936 and 35952 and find the biggest common factor number .

Step-1: Prime Factorization of 35936

Prime factors of 35936 are 2, 1123. Prime factorization of 35936 in exponential form is:

35936 = 2⁵ × 1123¹

Step-2: 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-3: Factors of 35936

List of positive integer factors of 35936 that divides 35936 without a remainder.

1, 2, 4, 8, 16, 32, 1123, 2246, 4492, 8984, 17968

Step-4: Factors of 35952

List of positive integer factors of 35952 that divides 35936 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35936 and 35952. The biggest common factor number is the GCF number.
So the greatest common factor 35936 and 35952 is 16.

Also check out the Least Common Multiple of 35936 and 35952