What is the Greatest Common Factor of 77970 and 77985?

Greatest common factor (GCF) of 77970 and 77985 is 15.

GCF(77970,77985) = 15

We will now calculate the prime factors of 77970 and 77985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77970 and 77985.

How to find the GCF of 77970 and 77985?

We will first find the prime factorization of 77970 and 77985. After we will calculate the factors of 77970 and 77985 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77985

Prime factors of 77985 are 3, 5, 1733. Prime factorization of 77985 in exponential form is:

77985 = 3² × 5¹ × 1733¹

Step-3: Factors of 77970

List of positive integer factors of 77970 that divides 77970 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

Step-4: Factors of 77985

List of positive integer factors of 77985 that divides 77970 without a remainder.

1, 3, 5, 9, 15, 45, 1733, 5199, 8665, 15597, 25995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77970 and 77985. The biggest common factor number is the GCF number.
So the greatest common factor 77970 and 77985 is 15.

Also check out the Least Common Multiple of 77970 and 77985