What is the Greatest Common Factor of 76625 and 76629?

Greatest common factor (GCF) of 76625 and 76629 is 1.

GCF(76625,76629) = 1

We will now calculate the prime factors of 76625 and 76629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76625 and 76629.

How to find the GCF of 76625 and 76629?

We will first find the prime factorization of 76625 and 76629. After we will calculate the factors of 76625 and 76629 and find the biggest common factor number .

Step-1: Prime Factorization of 76625

Prime factors of 76625 are 5, 613. Prime factorization of 76625 in exponential form is:

76625 = 5³ × 613¹

Step-2: 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-3: Factors of 76625

List of positive integer factors of 76625 that divides 76625 without a remainder.

1, 5, 25, 125, 613, 3065, 15325

Step-4: Factors of 76629

List of positive integer factors of 76629 that divides 76625 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76625 and 76629. The biggest common factor number is the GCF number.
So the greatest common factor 76625 and 76629 is 1.

Also check out the Least Common Multiple of 76625 and 76629