What is the Greatest Common Factor of 77622 and 77634?

Greatest common factor (GCF) of 77622 and 77634 is 6.

GCF(77622,77634) = 6

We will now calculate the prime factors of 77622 and 77634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77622 and 77634.

How to find the GCF of 77622 and 77634?

We will first find the prime factorization of 77622 and 77634. After we will calculate the factors of 77622 and 77634 and find the biggest common factor number .

Step-1: Prime Factorization of 77622

Prime factors of 77622 are 2, 3, 17, 761. Prime factorization of 77622 in exponential form is:

77622 = 2¹ × 3¹ × 17¹ × 761¹

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 77622

List of positive integer factors of 77622 that divides 77622 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 761, 1522, 2283, 4566, 12937, 25874, 38811

Step-4: Factors of 77634

List of positive integer factors of 77634 that divides 77622 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 77622 and 77634. The biggest common factor number is the GCF number.
So the greatest common factor 77622 and 77634 is 6.

Also check out the Least Common Multiple of 77622 and 77634