What is the Greatest Common Factor of 67580 and 67589?

Greatest common factor (GCF) of 67580 and 67589 is 1.

GCF(67580,67589) = 1

We will now calculate the prime factors of 67580 and 67589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67580 and 67589.

How to find the GCF of 67580 and 67589?

We will first find the prime factorization of 67580 and 67589. After we will calculate the factors of 67580 and 67589 and find the biggest common factor number .

Step-1: Prime Factorization of 67580

Prime factors of 67580 are 2, 5, 31, 109. Prime factorization of 67580 in exponential form is:

67580 = 2² × 5¹ × 31¹ × 109¹

Step-2: Prime Factorization of 67589

Prime factors of 67589 are 67589. Prime factorization of 67589 in exponential form is:

67589 = 67589¹

Step-3: Factors of 67580

List of positive integer factors of 67580 that divides 67580 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 109, 124, 155, 218, 310, 436, 545, 620, 1090, 2180, 3379, 6758, 13516, 16895, 33790

Step-4: Factors of 67589

List of positive integer factors of 67589 that divides 67580 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67580 and 67589. The biggest common factor number is the GCF number.
So the greatest common factor 67580 and 67589 is 1.

Also check out the Least Common Multiple of 67580 and 67589