What is the Greatest Common Factor of 62580 and 62600?

Greatest common factor (GCF) of 62580 and 62600 is 20.

GCF(62580,62600) = 20

We will now calculate the prime factors of 62580 and 62600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62580 and 62600.

How to find the GCF of 62580 and 62600?

We will first find the prime factorization of 62580 and 62600. After we will calculate the factors of 62580 and 62600 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62600

Prime factors of 62600 are 2, 5, 313. Prime factorization of 62600 in exponential form is:

62600 = 2³ × 5² × 313¹

Step-3: Factors of 62580

List of positive integer factors of 62580 that divides 62580 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

Step-4: Factors of 62600

List of positive integer factors of 62600 that divides 62580 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 313, 626, 1252, 1565, 2504, 3130, 6260, 7825, 12520, 15650, 31300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62580 and 62600. The biggest common factor number is the GCF number.
So the greatest common factor 62580 and 62600 is 20.

Also check out the Least Common Multiple of 62580 and 62600