What is the Greatest Common Factor of 62573 and 62580?

Greatest common factor (GCF) of 62573 and 62580 is 7.

GCF(62573,62580) = 7

We will now calculate the prime factors of 62573 and 62580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62573 and 62580.

How to find the GCF of 62573 and 62580?

We will first find the prime factorization of 62573 and 62580. After we will calculate the factors of 62573 and 62580 and find the biggest common factor number .

Step-1: Prime Factorization of 62573

Prime factors of 62573 are 7, 1277. Prime factorization of 62573 in exponential form is:

62573 = 7² × 1277¹

Step-2: Prime Factorization of 62580

Prime factors of 62580 are 2, 3, 5, 7, 149. Prime factorization of 62580 in exponential form is:

62580 = 2² × 3¹ × 5¹ × 7¹ × 149¹

Step-3: Factors of 62573

List of positive integer factors of 62573 that divides 62573 without a remainder.

1, 7, 49, 1277, 8939

Step-4: Factors of 62580

List of positive integer factors of 62580 that divides 62573 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 149, 210, 298, 420, 447, 596, 745, 894, 1043, 1490, 1788, 2086, 2235, 2980, 3129, 4172, 4470, 5215, 6258, 8940, 10430, 12516, 15645, 20860, 31290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62573 and 62580. The biggest common factor number is the GCF number.
So the greatest common factor 62573 and 62580 is 7.

Also check out the Least Common Multiple of 62573 and 62580