What is the Greatest Common Factor of 72956 and 72963?

Greatest common factor (GCF) of 72956 and 72963 is 1.

GCF(72956,72963) = 1

We will now calculate the prime factors of 72956 and 72963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72956 and 72963.

How to find the GCF of 72956 and 72963?

We will first find the prime factorization of 72956 and 72963. After we will calculate the factors of 72956 and 72963 and find the biggest common factor number .

Step-1: Prime Factorization of 72956

Prime factors of 72956 are 2, 13, 23, 61. Prime factorization of 72956 in exponential form is:

72956 = 2² × 13¹ × 23¹ × 61¹

Step-2: Prime Factorization of 72963

Prime factors of 72963 are 3, 11, 67. Prime factorization of 72963 in exponential form is:

72963 = 3² × 11² × 67¹

Step-3: Factors of 72956

List of positive integer factors of 72956 that divides 72956 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 61, 92, 122, 244, 299, 598, 793, 1196, 1403, 1586, 2806, 3172, 5612, 18239, 36478

Step-4: Factors of 72963

List of positive integer factors of 72963 that divides 72956 without a remainder.

1, 3, 9, 11, 33, 67, 99, 121, 201, 363, 603, 737, 1089, 2211, 6633, 8107, 24321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72956 and 72963. The biggest common factor number is the GCF number.
So the greatest common factor 72956 and 72963 is 1.

Also check out the Least Common Multiple of 72956 and 72963