What is the Greatest Common Factor of 67489 and 67508?

Greatest common factor (GCF) of 67489 and 67508 is 1.

GCF(67489,67508) = 1

We will now calculate the prime factors of 67489 and 67508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67489 and 67508.

How to find the GCF of 67489 and 67508?

We will first find the prime factorization of 67489 and 67508. After we will calculate the factors of 67489 and 67508 and find the biggest common factor number .

Step-1: Prime Factorization of 67489

Prime factors of 67489 are 67489. Prime factorization of 67489 in exponential form is:

67489 = 67489¹

Step-2: Prime Factorization of 67508

Prime factors of 67508 are 2, 7, 2411. Prime factorization of 67508 in exponential form is:

67508 = 2² × 7¹ × 2411¹

Step-3: Factors of 67489

List of positive integer factors of 67489 that divides 67489 without a remainder.

Step-4: Factors of 67508

List of positive integer factors of 67508 that divides 67489 without a remainder.

1, 2, 4, 7, 14, 28, 2411, 4822, 9644, 16877, 33754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67489 and 67508. The biggest common factor number is the GCF number.
So the greatest common factor 67489 and 67508 is 1.

Also check out the Least Common Multiple of 67489 and 67508