What is the Greatest Common Factor of 72940 and 72947?

Greatest common factor (GCF) of 72940 and 72947 is 7.

GCF(72940,72947) = 7

We will now calculate the prime factors of 72940 and 72947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72940 and 72947.

How to find the GCF of 72940 and 72947?

We will first find the prime factorization of 72940 and 72947. After we will calculate the factors of 72940 and 72947 and find the biggest common factor number .

Step-1: Prime Factorization of 72940

Prime factors of 72940 are 2, 5, 7, 521. Prime factorization of 72940 in exponential form is:

72940 = 2² × 5¹ × 7¹ × 521¹

Step-2: Prime Factorization of 72947

Prime factors of 72947 are 7, 17, 613. Prime factorization of 72947 in exponential form is:

72947 = 7¹ × 17¹ × 613¹

Step-3: Factors of 72940

List of positive integer factors of 72940 that divides 72940 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 521, 1042, 2084, 2605, 3647, 5210, 7294, 10420, 14588, 18235, 36470

Step-4: Factors of 72947

List of positive integer factors of 72947 that divides 72940 without a remainder.

1, 7, 17, 119, 613, 4291, 10421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72940 and 72947. The biggest common factor number is the GCF number.
So the greatest common factor 72940 and 72947 is 7.

Also check out the Least Common Multiple of 72940 and 72947