What is the Greatest Common Factor of 77396 and 77414?

Greatest common factor (GCF) of 77396 and 77414 is 2.

GCF(77396,77414) = 2

We will now calculate the prime factors of 77396 and 77414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77396 and 77414.

How to find the GCF of 77396 and 77414?

We will first find the prime factorization of 77396 and 77414. After we will calculate the factors of 77396 and 77414 and find the biggest common factor number .

Step-1: Prime Factorization of 77396

Prime factors of 77396 are 2, 11, 1759. Prime factorization of 77396 in exponential form is:

77396 = 2² × 11¹ × 1759¹

Step-2: Prime Factorization of 77414

Prime factors of 77414 are 2, 38707. Prime factorization of 77414 in exponential form is:

77414 = 2¹ × 38707¹

Step-3: Factors of 77396

List of positive integer factors of 77396 that divides 77396 without a remainder.

1, 2, 4, 11, 22, 44, 1759, 3518, 7036, 19349, 38698

Step-4: Factors of 77414

List of positive integer factors of 77414 that divides 77396 without a remainder.

1, 2, 38707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77396 and 77414. The biggest common factor number is the GCF number.
So the greatest common factor 77396 and 77414 is 2.

Also check out the Least Common Multiple of 77396 and 77414