What is the Greatest Common Factor of 62475 and 62490?

Greatest common factor (GCF) of 62475 and 62490 is 15.

GCF(62475,62490) = 15

We will now calculate the prime factors of 62475 and 62490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62475 and 62490.

How to find the GCF of 62475 and 62490?

We will first find the prime factorization of 62475 and 62490. After we will calculate the factors of 62475 and 62490 and find the biggest common factor number .

Step-1: Prime Factorization of 62475

Prime factors of 62475 are 3, 5, 7, 17. Prime factorization of 62475 in exponential form is:

62475 = 3¹ × 5² × 7² × 17¹

Step-2: Prime Factorization of 62490

Prime factors of 62490 are 2, 3, 5, 2083. Prime factorization of 62490 in exponential form is:

62490 = 2¹ × 3¹ × 5¹ × 2083¹

Step-3: Factors of 62475

List of positive integer factors of 62475 that divides 62475 without a remainder.

1, 3, 5, 7, 15, 17, 21, 25, 35, 49, 51, 75, 85, 105, 119, 147, 175, 245, 255, 357, 425, 525, 595, 735, 833, 1225, 1275, 1785, 2499, 2975, 3675, 4165, 8925, 12495, 20825

Step-4: Factors of 62490

List of positive integer factors of 62490 that divides 62475 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2083, 4166, 6249, 10415, 12498, 20830, 31245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62475 and 62490. The biggest common factor number is the GCF number.
So the greatest common factor 62475 and 62490 is 15.

Also check out the Least Common Multiple of 62475 and 62490