What is the Greatest Common Factor of 35664 and 35676?

Greatest common factor (GCF) of 35664 and 35676 is 12.

GCF(35664,35676) = 12

We will now calculate the prime factors of 35664 and 35676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35664 and 35676.

How to find the GCF of 35664 and 35676?

We will first find the prime factorization of 35664 and 35676. After we will calculate the factors of 35664 and 35676 and find the biggest common factor number .

Step-1: Prime Factorization of 35664

Prime factors of 35664 are 2, 3, 743. Prime factorization of 35664 in exponential form is:

35664 = 2⁴ × 3¹ × 743¹

Step-2: Prime Factorization of 35676

Prime factors of 35676 are 2, 3, 991. Prime factorization of 35676 in exponential form is:

35676 = 2² × 3² × 991¹

Step-3: Factors of 35664

List of positive integer factors of 35664 that divides 35664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 743, 1486, 2229, 2972, 4458, 5944, 8916, 11888, 17832

Step-4: Factors of 35676

List of positive integer factors of 35676 that divides 35664 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 991, 1982, 2973, 3964, 5946, 8919, 11892, 17838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35664 and 35676. The biggest common factor number is the GCF number.
So the greatest common factor 35664 and 35676 is 12.

Also check out the Least Common Multiple of 35664 and 35676