What is the Greatest Common Factor of 35664 and 35684?

Greatest common factor (GCF) of 35664 and 35684 is 4.

GCF(35664,35684) = 4

We will now calculate the prime factors of 35664 and 35684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35664 and 35684.

How to find the GCF of 35664 and 35684?

We will first find the prime factorization of 35664 and 35684. After we will calculate the factors of 35664 and 35684 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 35684

Prime factors of 35684 are 2, 11, 811. Prime factorization of 35684 in exponential form is:

35684 = 2² × 11¹ × 811¹

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 35684

List of positive integer factors of 35684 that divides 35664 without a remainder.

1, 2, 4, 11, 22, 44, 811, 1622, 3244, 8921, 17842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35664 and 35684. The biggest common factor number is the GCF number.
So the greatest common factor 35664 and 35684 is 4.

Also check out the Least Common Multiple of 35664 and 35684