What is the Greatest Common Factor of 73947 and 73956?

Greatest common factor (GCF) of 73947 and 73956 is 3.

GCF(73947,73956) = 3

We will now calculate the prime factors of 73947 and 73956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73947 and 73956.

How to find the GCF of 73947 and 73956?

We will first find the prime factorization of 73947 and 73956. After we will calculate the factors of 73947 and 73956 and find the biggest common factor number .

Step-1: Prime Factorization of 73947

Prime factors of 73947 are 3, 157. Prime factorization of 73947 in exponential form is:

73947 = 3¹ × 157²

Step-2: Prime Factorization of 73956

Prime factors of 73956 are 2, 3, 6163. Prime factorization of 73956 in exponential form is:

73956 = 2² × 3¹ × 6163¹

Step-3: Factors of 73947

List of positive integer factors of 73947 that divides 73947 without a remainder.

1, 3, 157, 471, 24649

Step-4: Factors of 73956

List of positive integer factors of 73956 that divides 73947 without a remainder.

1, 2, 3, 4, 6, 12, 6163, 12326, 18489, 24652, 36978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73947 and 73956. The biggest common factor number is the GCF number.
So the greatest common factor 73947 and 73956 is 3.

Also check out the Least Common Multiple of 73947 and 73956