What is the Greatest Common Factor of 77970 and 77984?

Greatest common factor (GCF) of 77970 and 77984 is 2.

GCF(77970,77984) = 2

We will now calculate the prime factors of 77970 and 77984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77970 and 77984.

How to find the GCF of 77970 and 77984?

We will first find the prime factorization of 77970 and 77984. After we will calculate the factors of 77970 and 77984 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 77984

Prime factors of 77984 are 2, 2437. Prime factorization of 77984 in exponential form is:

77984 = 2⁵ × 2437¹

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 77984

List of positive integer factors of 77984 that divides 77970 without a remainder.

1, 2, 4, 8, 16, 32, 2437, 4874, 9748, 19496, 38992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77970 and 77984. The biggest common factor number is the GCF number.
So the greatest common factor 77970 and 77984 is 2.

Also check out the Least Common Multiple of 77970 and 77984