What is the Greatest Common Factor of 77108 and 77114?

Greatest common factor (GCF) of 77108 and 77114 is 2.

GCF(77108,77114) = 2

We will now calculate the prime factors of 77108 and 77114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77108 and 77114.

How to find the GCF of 77108 and 77114?

We will first find the prime factorization of 77108 and 77114. After we will calculate the factors of 77108 and 77114 and find the biggest common factor number .

Step-1: Prime Factorization of 77108

Prime factors of 77108 are 2, 37, 521. Prime factorization of 77108 in exponential form is:

77108 = 2² × 37¹ × 521¹

Step-2: Prime Factorization of 77114

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

77114 = 2¹ × 38557¹

Step-3: Factors of 77108

List of positive integer factors of 77108 that divides 77108 without a remainder.

1, 2, 4, 37, 74, 148, 521, 1042, 2084, 19277, 38554

Step-4: Factors of 77114

List of positive integer factors of 77114 that divides 77108 without a remainder.

1, 2, 38557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77108 and 77114. The biggest common factor number is the GCF number.
So the greatest common factor 77108 and 77114 is 2.

Also check out the Least Common Multiple of 77108 and 77114