What is the Greatest Common Factor of 77126 and 77138?

Greatest common factor (GCF) of 77126 and 77138 is 2.

GCF(77126,77138) = 2

We will now calculate the prime factors of 77126 and 77138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77126 and 77138.

How to find the GCF of 77126 and 77138?

We will first find the prime factorization of 77126 and 77138. After we will calculate the factors of 77126 and 77138 and find the biggest common factor number .

Step-1: Prime Factorization of 77126

Prime factors of 77126 are 2, 7, 787. Prime factorization of 77126 in exponential form is:

77126 = 2¹ × 7² × 787¹

Step-2: Prime Factorization of 77138

Prime factors of 77138 are 2, 38569. Prime factorization of 77138 in exponential form is:

77138 = 2¹ × 38569¹

Step-3: Factors of 77126

List of positive integer factors of 77126 that divides 77126 without a remainder.

1, 2, 7, 14, 49, 98, 787, 1574, 5509, 11018, 38563

Step-4: Factors of 77138

List of positive integer factors of 77138 that divides 77126 without a remainder.

1, 2, 38569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77126 and 77138. The biggest common factor number is the GCF number.
So the greatest common factor 77126 and 77138 is 2.

Also check out the Least Common Multiple of 77126 and 77138