What is the Greatest Common Factor of 77970 and 77975?

Greatest common factor (GCF) of 77970 and 77975 is 5.

GCF(77970,77975) = 5

We will now calculate the prime factors of 77970 and 77975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77970 and 77975.

How to find the GCF of 77970 and 77975?

We will first find the prime factorization of 77970 and 77975. After we will calculate the factors of 77970 and 77975 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 77975

Prime factors of 77975 are 5, 3119. Prime factorization of 77975 in exponential form is:

77975 = 5² × 3119¹

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 77975

List of positive integer factors of 77975 that divides 77970 without a remainder.

1, 5, 25, 3119, 15595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77970 and 77975. The biggest common factor number is the GCF number.
So the greatest common factor 77970 and 77975 is 5.

Also check out the Least Common Multiple of 77970 and 77975