What is the Greatest Common Factor of 72963 and 72974?

Greatest common factor (GCF) of 72963 and 72974 is 11.

GCF(72963,72974) = 11

We will now calculate the prime factors of 72963 and 72974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72963 and 72974.

How to find the GCF of 72963 and 72974?

We will first find the prime factorization of 72963 and 72974. After we will calculate the factors of 72963 and 72974 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72974

Prime factors of 72974 are 2, 11, 31, 107. Prime factorization of 72974 in exponential form is:

72974 = 2¹ × 11¹ × 31¹ × 107¹

Step-3: Factors of 72963

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

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

Step-4: Factors of 72974

List of positive integer factors of 72974 that divides 72963 without a remainder.

1, 2, 11, 22, 31, 62, 107, 214, 341, 682, 1177, 2354, 3317, 6634, 36487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72963 and 72974. The biggest common factor number is the GCF number.
So the greatest common factor 72963 and 72974 is 11.

Also check out the Least Common Multiple of 72963 and 72974