What is the Greatest Common Factor of 36699 and 36712?

Greatest common factor (GCF) of 36699 and 36712 is 13.

GCF(36699,36712) = 13

We will now calculate the prime factors of 36699 and 36712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36699 and 36712.

How to find the GCF of 36699 and 36712?

We will first find the prime factorization of 36699 and 36712. After we will calculate the factors of 36699 and 36712 and find the biggest common factor number .

Step-1: Prime Factorization of 36699

Prime factors of 36699 are 3, 13, 941. Prime factorization of 36699 in exponential form is:

36699 = 3¹ × 13¹ × 941¹

Step-2: Prime Factorization of 36712

Prime factors of 36712 are 2, 13, 353. Prime factorization of 36712 in exponential form is:

36712 = 2³ × 13¹ × 353¹

Step-3: Factors of 36699

List of positive integer factors of 36699 that divides 36699 without a remainder.

1, 3, 13, 39, 941, 2823, 12233

Step-4: Factors of 36712

List of positive integer factors of 36712 that divides 36699 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 353, 706, 1412, 2824, 4589, 9178, 18356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36699 and 36712. The biggest common factor number is the GCF number.
So the greatest common factor 36699 and 36712 is 13.

Also check out the Least Common Multiple of 36699 and 36712