What is the Greatest Common Factor of 77626 and 77634?

Greatest common factor (GCF) of 77626 and 77634 is 2.

GCF(77626,77634) = 2

We will now calculate the prime factors of 77626 and 77634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77626 and 77634.

How to find the GCF of 77626 and 77634?

We will first find the prime factorization of 77626 and 77634. After we will calculate the factors of 77626 and 77634 and find the biggest common factor number .

Step-1: Prime Factorization of 77626

Prime factors of 77626 are 2, 37, 1049. Prime factorization of 77626 in exponential form is:

77626 = 2¹ × 37¹ × 1049¹

Step-2: Prime Factorization of 77634

Prime factors of 77634 are 2, 3, 19, 227. Prime factorization of 77634 in exponential form is:

77634 = 2¹ × 3² × 19¹ × 227¹

Step-3: Factors of 77626

List of positive integer factors of 77626 that divides 77626 without a remainder.

1, 2, 37, 74, 1049, 2098, 38813

Step-4: Factors of 77634

List of positive integer factors of 77634 that divides 77626 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 227, 342, 454, 681, 1362, 2043, 4086, 4313, 8626, 12939, 25878, 38817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77626 and 77634. The biggest common factor number is the GCF number.
So the greatest common factor 77626 and 77634 is 2.

Also check out the Least Common Multiple of 77626 and 77634