What is the Greatest Common Factor of 36672 and 36685?

Greatest common factor (GCF) of 36672 and 36685 is 1.

GCF(36672,36685) = 1

We will now calculate the prime factors of 36672 and 36685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36672 and 36685.

How to find the GCF of 36672 and 36685?

We will first find the prime factorization of 36672 and 36685. After we will calculate the factors of 36672 and 36685 and find the biggest common factor number .

Step-1: Prime Factorization of 36672

Prime factors of 36672 are 2, 3, 191. Prime factorization of 36672 in exponential form is:

36672 = 2⁶ × 3¹ × 191¹

Step-2: Prime Factorization of 36685

Prime factors of 36685 are 5, 11, 23, 29. Prime factorization of 36685 in exponential form is:

36685 = 5¹ × 11¹ × 23¹ × 29¹

Step-3: Factors of 36672

List of positive integer factors of 36672 that divides 36672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 191, 192, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 6112, 9168, 12224, 18336

Step-4: Factors of 36685

List of positive integer factors of 36685 that divides 36672 without a remainder.

1, 5, 11, 23, 29, 55, 115, 145, 253, 319, 667, 1265, 1595, 3335, 7337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36672 and 36685. The biggest common factor number is the GCF number.
So the greatest common factor 36672 and 36685 is 1.

Also check out the Least Common Multiple of 36672 and 36685