What is the Greatest Common Factor of 77954 and 77970?

Greatest common factor (GCF) of 77954 and 77970 is 2.

GCF(77954,77970) = 2

We will now calculate the prime factors of 77954 and 77970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77954 and 77970.

How to find the GCF of 77954 and 77970?

We will first find the prime factorization of 77954 and 77970. After we will calculate the factors of 77954 and 77970 and find the biggest common factor number .

Step-1: Prime Factorization of 77954

Prime factors of 77954 are 2, 38977. Prime factorization of 77954 in exponential form is:

77954 = 2¹ × 38977¹

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 77954

List of positive integer factors of 77954 that divides 77954 without a remainder.

1, 2, 38977

Step-4: Factors of 77970

List of positive integer factors of 77970 that divides 77954 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 77954 and 77970. The biggest common factor number is the GCF number.
So the greatest common factor 77954 and 77970 is 2.

Also check out the Least Common Multiple of 77954 and 77970