What is the Greatest Common Factor of 77955 and 77970?

Greatest common factor (GCF) of 77955 and 77970 is 15.

GCF(77955,77970) = 15

We will now calculate the prime factors of 77955 and 77970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77955 and 77970.

How to find the GCF of 77955 and 77970?

We will first find the prime factorization of 77955 and 77970. After we will calculate the factors of 77955 and 77970 and find the biggest common factor number .

Step-1: Prime Factorization of 77955

Prime factors of 77955 are 3, 5, 5197. Prime factorization of 77955 in exponential form is:

77955 = 3¹ × 5¹ × 5197¹

Step-2: Prime Factorization of 77970

Prime factors of 77970 are 2, 3, 5, 23, 113. Prime factorization of 77970 in exponential form is:

77970 = 2¹ × 3¹ × 5¹ × 23¹ × 113¹

Step-3: Factors of 77955

List of positive integer factors of 77955 that divides 77955 without a remainder.

1, 3, 5, 15, 5197, 15591, 25985

Step-4: Factors of 77970

List of positive integer factors of 77970 that divides 77955 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 113, 115, 138, 226, 230, 339, 345, 565, 678, 690, 1130, 1695, 2599, 3390, 5198, 7797, 12995, 15594, 25990, 38985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77955 and 77970. The biggest common factor number is the GCF number.
So the greatest common factor 77955 and 77970 is 15.

Also check out the Least Common Multiple of 77955 and 77970