What is the Greatest Common Factor of 72948 and 72963?

Greatest common factor (GCF) of 72948 and 72963 is 3.

GCF(72948,72963) = 3

We will now calculate the prime factors of 72948 and 72963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72948 and 72963.

How to find the GCF of 72948 and 72963?

We will first find the prime factorization of 72948 and 72963. After we will calculate the factors of 72948 and 72963 and find the biggest common factor number .

Step-1: Prime Factorization of 72948

Prime factors of 72948 are 2, 3, 6079. Prime factorization of 72948 in exponential form is:

72948 = 2² × 3¹ × 6079¹

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 72948

List of positive integer factors of 72948 that divides 72948 without a remainder.

1, 2, 3, 4, 6, 12, 6079, 12158, 18237, 24316, 36474

Step-4: Factors of 72963

List of positive integer factors of 72963 that divides 72948 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 72948 and 72963. The biggest common factor number is the GCF number.
So the greatest common factor 72948 and 72963 is 3.

Also check out the Least Common Multiple of 72948 and 72963