What is the Greatest Common Factor of 77973 and 77991?

Greatest common factor (GCF) of 77973 and 77991 is 3.

GCF(77973,77991) = 3

We will now calculate the prime factors of 77973 and 77991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77973 and 77991.

How to find the GCF of 77973 and 77991?

We will first find the prime factorization of 77973 and 77991. After we will calculate the factors of 77973 and 77991 and find the biggest common factor number .

Step-1: Prime Factorization of 77973

Prime factors of 77973 are 3, 7, 47, 79. Prime factorization of 77973 in exponential form is:

77973 = 3¹ × 7¹ × 47¹ × 79¹

Step-2: Prime Factorization of 77991

Prime factors of 77991 are 3, 25997. Prime factorization of 77991 in exponential form is:

77991 = 3¹ × 25997¹

Step-3: Factors of 77973

List of positive integer factors of 77973 that divides 77973 without a remainder.

1, 3, 7, 21, 47, 79, 141, 237, 329, 553, 987, 1659, 3713, 11139, 25991

Step-4: Factors of 77991

List of positive integer factors of 77991 that divides 77973 without a remainder.

1, 3, 25997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77973 and 77991. The biggest common factor number is the GCF number.
So the greatest common factor 77973 and 77991 is 3.

Also check out the Least Common Multiple of 77973 and 77991