What is the Greatest Common Factor of 76625 and 76641?

Greatest common factor (GCF) of 76625 and 76641 is 1.

GCF(76625,76641) = 1

We will now calculate the prime factors of 76625 and 76641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76625 and 76641.

How to find the GCF of 76625 and 76641?

We will first find the prime factorization of 76625 and 76641. After we will calculate the factors of 76625 and 76641 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 76641

Prime factors of 76641 are 3, 59, 433. Prime factorization of 76641 in exponential form is:

76641 = 3¹ × 59¹ × 433¹

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 76641

List of positive integer factors of 76641 that divides 76625 without a remainder.

1, 3, 59, 177, 433, 1299, 25547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76625 and 76641. The biggest common factor number is the GCF number.
So the greatest common factor 76625 and 76641 is 1.

Also check out the Least Common Multiple of 76625 and 76641