What is the Greatest Common Factor of 76629 and 76644?

Greatest common factor (GCF) of 76629 and 76644 is 3.

GCF(76629,76644) = 3

We will now calculate the prime factors of 76629 and 76644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76629 and 76644.

How to find the GCF of 76629 and 76644?

We will first find the prime factorization of 76629 and 76644. After we will calculate the factors of 76629 and 76644 and find the biggest common factor number .

Step-1: Prime Factorization of 76629

Prime factors of 76629 are 3, 7, 41, 89. Prime factorization of 76629 in exponential form is:

76629 = 3¹ × 7¹ × 41¹ × 89¹

Step-2: Prime Factorization of 76644

Prime factors of 76644 are 2, 3, 2129. Prime factorization of 76644 in exponential form is:

76644 = 2² × 3² × 2129¹

Step-3: Factors of 76629

List of positive integer factors of 76629 that divides 76629 without a remainder.

1, 3, 7, 21, 41, 89, 123, 267, 287, 623, 861, 1869, 3649, 10947, 25543

Step-4: Factors of 76644

List of positive integer factors of 76644 that divides 76629 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2129, 4258, 6387, 8516, 12774, 19161, 25548, 38322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76629 and 76644. The biggest common factor number is the GCF number.
So the greatest common factor 76629 and 76644 is 3.

Also check out the Least Common Multiple of 76629 and 76644