What is the Greatest Common Factor of 76629 and 76643?

Greatest common factor (GCF) of 76629 and 76643 is 7.

GCF(76629,76643) = 7

We will now calculate the prime factors of 76629 and 76643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76629 and 76643.

How to find the GCF of 76629 and 76643?

We will first find the prime factorization of 76629 and 76643. After we will calculate the factors of 76629 and 76643 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 76643

Prime factors of 76643 are 7, 10949. Prime factorization of 76643 in exponential form is:

76643 = 7¹ × 10949¹

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 76643

List of positive integer factors of 76643 that divides 76629 without a remainder.

1, 7, 10949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76629 and 76643. The biggest common factor number is the GCF number.
So the greatest common factor 76629 and 76643 is 7.

Also check out the Least Common Multiple of 76629 and 76643