What is the Greatest Common Factor of 67560 and 67579?

Greatest common factor (GCF) of 67560 and 67579 is 1.

GCF(67560,67579) = 1

We will now calculate the prime factors of 67560 and 67579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67560 and 67579.

How to find the GCF of 67560 and 67579?

We will first find the prime factorization of 67560 and 67579. After we will calculate the factors of 67560 and 67579 and find the biggest common factor number .

Step-1: Prime Factorization of 67560

Prime factors of 67560 are 2, 3, 5, 563. Prime factorization of 67560 in exponential form is:

67560 = 2³ × 3¹ × 5¹ × 563¹

Step-2: Prime Factorization of 67579

Prime factors of 67579 are 67579. Prime factorization of 67579 in exponential form is:

67579 = 67579¹

Step-3: Factors of 67560

List of positive integer factors of 67560 that divides 67560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 563, 1126, 1689, 2252, 2815, 3378, 4504, 5630, 6756, 8445, 11260, 13512, 16890, 22520, 33780

Step-4: Factors of 67579

List of positive integer factors of 67579 that divides 67560 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67560 and 67579. The biggest common factor number is the GCF number.
So the greatest common factor 67560 and 67579 is 1.

Also check out the Least Common Multiple of 67560 and 67579