What is the Greatest Common Factor of 76609 and 76625?

Greatest common factor (GCF) of 76609 and 76625 is 1.

GCF(76609,76625) = 1

We will now calculate the prime factors of 76609 and 76625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76609 and 76625.

How to find the GCF of 76609 and 76625?

We will first find the prime factorization of 76609 and 76625. After we will calculate the factors of 76609 and 76625 and find the biggest common factor number .

Step-1: Prime Factorization of 76609

Prime factors of 76609 are 13, 71, 83. Prime factorization of 76609 in exponential form is:

76609 = 13¹ × 71¹ × 83¹

Step-2: Prime Factorization of 76625

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

76625 = 5³ × 613¹

Step-3: Factors of 76609

List of positive integer factors of 76609 that divides 76609 without a remainder.

1, 13, 71, 83, 923, 1079, 5893

Step-4: Factors of 76625

List of positive integer factors of 76625 that divides 76609 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76609 and 76625. The biggest common factor number is the GCF number.
So the greatest common factor 76609 and 76625 is 1.

Also check out the Least Common Multiple of 76609 and 76625