What is the Greatest Common Factor of 73953 and 73971?

Greatest common factor (GCF) of 73953 and 73971 is 9.

GCF(73953,73971) = 9

We will now calculate the prime factors of 73953 and 73971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73953 and 73971.

How to find the GCF of 73953 and 73971?

We will first find the prime factorization of 73953 and 73971. After we will calculate the factors of 73953 and 73971 and find the biggest common factor number .

Step-1: Prime Factorization of 73953

Prime factors of 73953 are 3, 11, 83. Prime factorization of 73953 in exponential form is:

73953 = 3⁴ × 11¹ × 83¹

Step-2: Prime Factorization of 73971

Prime factors of 73971 are 3, 8219. Prime factorization of 73971 in exponential form is:

73971 = 3² × 8219¹

Step-3: Factors of 73953

List of positive integer factors of 73953 that divides 73953 without a remainder.

1, 3, 9, 11, 27, 33, 81, 83, 99, 249, 297, 747, 891, 913, 2241, 2739, 6723, 8217, 24651

Step-4: Factors of 73971

List of positive integer factors of 73971 that divides 73953 without a remainder.

1, 3, 9, 8219, 24657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73953 and 73971. The biggest common factor number is the GCF number.
So the greatest common factor 73953 and 73971 is 9.

Also check out the Least Common Multiple of 73953 and 73971