What is the Greatest Common Factor of 35896 and 35912?

Greatest common factor (GCF) of 35896 and 35912 is 8.

GCF(35896,35912) = 8

We will now calculate the prime factors of 35896 and 35912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35896 and 35912.

How to find the GCF of 35896 and 35912?

We will first find the prime factorization of 35896 and 35912. After we will calculate the factors of 35896 and 35912 and find the biggest common factor number .

Step-1: Prime Factorization of 35896

Prime factors of 35896 are 2, 7, 641. Prime factorization of 35896 in exponential form is:

35896 = 2³ × 7¹ × 641¹

Step-2: Prime Factorization of 35912

Prime factors of 35912 are 2, 67. Prime factorization of 35912 in exponential form is:

35912 = 2³ × 67²

Step-3: Factors of 35896

List of positive integer factors of 35896 that divides 35896 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 641, 1282, 2564, 4487, 5128, 8974, 17948

Step-4: Factors of 35912

List of positive integer factors of 35912 that divides 35896 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536, 4489, 8978, 17956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35896 and 35912. The biggest common factor number is the GCF number.
So the greatest common factor 35896 and 35912 is 8.

Also check out the Least Common Multiple of 35896 and 35912