What is the Greatest Common Factor of 76489 and 76508?

Greatest common factor (GCF) of 76489 and 76508 is 1.

GCF(76489,76508) = 1

We will now calculate the prime factors of 76489 and 76508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76489 and 76508.

How to find the GCF of 76489 and 76508?

We will first find the prime factorization of 76489 and 76508. After we will calculate the factors of 76489 and 76508 and find the biggest common factor number .

Step-1: Prime Factorization of 76489

Prime factors of 76489 are 7, 223. Prime factorization of 76489 in exponential form is:

76489 = 7³ × 223¹

Step-2: Prime Factorization of 76508

Prime factors of 76508 are 2, 31, 617. Prime factorization of 76508 in exponential form is:

76508 = 2² × 31¹ × 617¹

Step-3: Factors of 76489

List of positive integer factors of 76489 that divides 76489 without a remainder.

1, 7, 49, 223, 343, 1561, 10927

Step-4: Factors of 76508

List of positive integer factors of 76508 that divides 76489 without a remainder.

1, 2, 4, 31, 62, 124, 617, 1234, 2468, 19127, 38254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76489 and 76508. The biggest common factor number is the GCF number.
So the greatest common factor 76489 and 76508 is 1.

Also check out the Least Common Multiple of 76489 and 76508