What is the Greatest Common Factor of 77622 and 77637?

Greatest common factor (GCF) of 77622 and 77637 is 3.

GCF(77622,77637) = 3

We will now calculate the prime factors of 77622 and 77637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77622 and 77637.

How to find the GCF of 77622 and 77637?

We will first find the prime factorization of 77622 and 77637. After we will calculate the factors of 77622 and 77637 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 77637

Prime factors of 77637 are 3, 7, 3697. Prime factorization of 77637 in exponential form is:

77637 = 3¹ × 7¹ × 3697¹

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 77637

List of positive integer factors of 77637 that divides 77622 without a remainder.

1, 3, 7, 21, 3697, 11091, 25879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77622 and 77637. The biggest common factor number is the GCF number.
So the greatest common factor 77622 and 77637 is 3.

Also check out the Least Common Multiple of 77622 and 77637