What is the Greatest Common Factor of 77116 and 77120?

Greatest common factor (GCF) of 77116 and 77120 is 4.

GCF(77116,77120) = 4

We will now calculate the prime factors of 77116 and 77120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77116 and 77120.

How to find the GCF of 77116 and 77120?

We will first find the prime factorization of 77116 and 77120. After we will calculate the factors of 77116 and 77120 and find the biggest common factor number .

Step-1: Prime Factorization of 77116

Prime factors of 77116 are 2, 13, 1483. Prime factorization of 77116 in exponential form is:

77116 = 2² × 13¹ × 1483¹

Step-2: Prime Factorization of 77120

Prime factors of 77120 are 2, 5, 241. Prime factorization of 77120 in exponential form is:

77120 = 2⁶ × 5¹ × 241¹

Step-3: Factors of 77116

List of positive integer factors of 77116 that divides 77116 without a remainder.

1, 2, 4, 13, 26, 52, 1483, 2966, 5932, 19279, 38558

Step-4: Factors of 77120

List of positive integer factors of 77120 that divides 77116 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 241, 320, 482, 964, 1205, 1928, 2410, 3856, 4820, 7712, 9640, 15424, 19280, 38560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77116 and 77120. The biggest common factor number is the GCF number.
So the greatest common factor 77116 and 77120 is 4.

Also check out the Least Common Multiple of 77116 and 77120