What is the Greatest Common Factor of 72680 and 72694?

Greatest common factor (GCF) of 72680 and 72694 is 2.

GCF(72680,72694) = 2

We will now calculate the prime factors of 72680 and 72694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72680 and 72694.

How to find the GCF of 72680 and 72694?

We will first find the prime factorization of 72680 and 72694. After we will calculate the factors of 72680 and 72694 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72694

Prime factors of 72694 are 2, 19, 1913. Prime factorization of 72694 in exponential form is:

72694 = 2¹ × 19¹ × 1913¹

Step-3: Factors of 72680

List of positive integer factors of 72680 that divides 72680 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

Step-4: Factors of 72694

List of positive integer factors of 72694 that divides 72680 without a remainder.

1, 2, 19, 38, 1913, 3826, 36347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72680 and 72694. The biggest common factor number is the GCF number.
So the greatest common factor 72680 and 72694 is 2.

Also check out the Least Common Multiple of 72680 and 72694