What is the Greatest Common Factor of 62574 and 62579?

Greatest common factor (GCF) of 62574 and 62579 is 1.

GCF(62574,62579) = 1

We will now calculate the prime factors of 62574 and 62579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62574 and 62579.

How to find the GCF of 62574 and 62579?

We will first find the prime factorization of 62574 and 62579. After we will calculate the factors of 62574 and 62579 and find the biggest common factor number .

Step-1: Prime Factorization of 62574

Prime factors of 62574 are 2, 3, 10429. Prime factorization of 62574 in exponential form is:

62574 = 2¹ × 3¹ × 10429¹

Step-2: Prime Factorization of 62579

Prime factors of 62579 are 11, 5689. Prime factorization of 62579 in exponential form is:

62579 = 11¹ × 5689¹

Step-3: Factors of 62574

List of positive integer factors of 62574 that divides 62574 without a remainder.

1, 2, 3, 6, 10429, 20858, 31287

Step-4: Factors of 62579

List of positive integer factors of 62579 that divides 62574 without a remainder.

1, 11, 5689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62574 and 62579. The biggest common factor number is the GCF number.
So the greatest common factor 62574 and 62579 is 1.

Also check out the Least Common Multiple of 62574 and 62579