What is the Greatest Common Factor of 77114 and 77120?

Greatest common factor (GCF) of 77114 and 77120 is 2.

GCF(77114,77120) = 2

We will now calculate the prime factors of 77114 and 77120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77114 and 77120.

How to find the GCF of 77114 and 77120?

We will first find the prime factorization of 77114 and 77120. After we will calculate the factors of 77114 and 77120 and find the biggest common factor number .

Step-1: Prime Factorization of 77114

Prime factors of 77114 are 2, 38557. Prime factorization of 77114 in exponential form is:

77114 = 2¹ × 38557¹

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 77114

List of positive integer factors of 77114 that divides 77114 without a remainder.

1, 2, 38557

Step-4: Factors of 77120

List of positive integer factors of 77120 that divides 77114 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 77114 and 77120. The biggest common factor number is the GCF number.
So the greatest common factor 77114 and 77120 is 2.

Also check out the Least Common Multiple of 77114 and 77120