What is the Greatest Common Factor of 72665 and 72680?

Greatest common factor (GCF) of 72665 and 72680 is 5.

GCF(72665,72680) = 5

We will now calculate the prime factors of 72665 and 72680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72665 and 72680.

How to find the GCF of 72665 and 72680?

We will first find the prime factorization of 72665 and 72680. After we will calculate the factors of 72665 and 72680 and find the biggest common factor number .

Step-1: Prime Factorization of 72665

Prime factors of 72665 are 5, 14533. Prime factorization of 72665 in exponential form is:

72665 = 5¹ × 14533¹

Step-2: Prime Factorization of 72680

Prime factors of 72680 are 2, 5, 23, 79. Prime factorization of 72680 in exponential form is:

72680 = 2³ × 5¹ × 23¹ × 79¹

Step-3: Factors of 72665

List of positive integer factors of 72665 that divides 72665 without a remainder.

1, 5, 14533

Step-4: Factors of 72680

List of positive integer factors of 72680 that divides 72665 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 79, 92, 115, 158, 184, 230, 316, 395, 460, 632, 790, 920, 1580, 1817, 3160, 3634, 7268, 9085, 14536, 18170, 36340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72665 and 72680. The biggest common factor number is the GCF number.
So the greatest common factor 72665 and 72680 is 5.

Also check out the Least Common Multiple of 72665 and 72680