What is the Greatest Common Factor of 77096 and 77114?

Greatest common factor (GCF) of 77096 and 77114 is 2.

GCF(77096,77114) = 2

We will now calculate the prime factors of 77096 and 77114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77096 and 77114.

How to find the GCF of 77096 and 77114?

We will first find the prime factorization of 77096 and 77114. After we will calculate the factors of 77096 and 77114 and find the biggest common factor number .

Step-1: Prime Factorization of 77096

Prime factors of 77096 are 2, 23, 419. Prime factorization of 77096 in exponential form is:

77096 = 2³ × 23¹ × 419¹

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 77096

List of positive integer factors of 77096 that divides 77096 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 419, 838, 1676, 3352, 9637, 19274, 38548

Step-4: Factors of 77114

List of positive integer factors of 77114 that divides 77096 without a remainder.

1, 2, 38557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77096 and 77114. The biggest common factor number is the GCF number.
So the greatest common factor 77096 and 77114 is 2.

Also check out the Least Common Multiple of 77096 and 77114