What is the Greatest Common Factor of 77794 and 77812?

Greatest common factor (GCF) of 77794 and 77812 is 2.

GCF(77794,77812) = 2

We will now calculate the prime factors of 77794 and 77812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77794 and 77812.

How to find the GCF of 77794 and 77812?

We will first find the prime factorization of 77794 and 77812. After we will calculate the factors of 77794 and 77812 and find the biggest common factor number .

Step-1: Prime Factorization of 77794

Prime factors of 77794 are 2, 97, 401. Prime factorization of 77794 in exponential form is:

77794 = 2¹ × 97¹ × 401¹

Step-2: Prime Factorization of 77812

Prime factors of 77812 are 2, 7, 397. Prime factorization of 77812 in exponential form is:

77812 = 2² × 7² × 397¹

Step-3: Factors of 77794

List of positive integer factors of 77794 that divides 77794 without a remainder.

1, 2, 97, 194, 401, 802, 38897

Step-4: Factors of 77812

List of positive integer factors of 77812 that divides 77794 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 397, 794, 1588, 2779, 5558, 11116, 19453, 38906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77794 and 77812. The biggest common factor number is the GCF number.
So the greatest common factor 77794 and 77812 is 2.

Also check out the Least Common Multiple of 77794 and 77812