What is the Greatest Common Factor of 72940 and 72954?

Greatest common factor (GCF) of 72940 and 72954 is 14.

GCF(72940,72954) = 14

We will now calculate the prime factors of 72940 and 72954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72940 and 72954.

How to find the GCF of 72940 and 72954?

We will first find the prime factorization of 72940 and 72954. After we will calculate the factors of 72940 and 72954 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 72954

Prime factors of 72954 are 2, 3, 7, 193. Prime factorization of 72954 in exponential form is:

72954 = 2¹ × 3³ × 7¹ × 193¹

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 72954

List of positive integer factors of 72954 that divides 72940 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 193, 378, 386, 579, 1158, 1351, 1737, 2702, 3474, 4053, 5211, 8106, 10422, 12159, 24318, 36477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72940 and 72954. The biggest common factor number is the GCF number.
So the greatest common factor 72940 and 72954 is 14.

Also check out the Least Common Multiple of 72940 and 72954