What is the Greatest Common Factor of 62760 and 62775?

Greatest common factor (GCF) of 62760 and 62775 is 15.

GCF(62760,62775) = 15

We will now calculate the prime factors of 62760 and 62775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62760 and 62775.

How to find the GCF of 62760 and 62775?

We will first find the prime factorization of 62760 and 62775. After we will calculate the factors of 62760 and 62775 and find the biggest common factor number .

Step-1: Prime Factorization of 62760

Prime factors of 62760 are 2, 3, 5, 523. Prime factorization of 62760 in exponential form is:

62760 = 2³ × 3¹ × 5¹ × 523¹

Step-2: Prime Factorization of 62775

Prime factors of 62775 are 3, 5, 31. Prime factorization of 62775 in exponential form is:

62775 = 3⁴ × 5² × 31¹

Step-3: Factors of 62760

List of positive integer factors of 62760 that divides 62760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 523, 1046, 1569, 2092, 2615, 3138, 4184, 5230, 6276, 7845, 10460, 12552, 15690, 20920, 31380

Step-4: Factors of 62775

List of positive integer factors of 62775 that divides 62760 without a remainder.

1, 3, 5, 9, 15, 25, 27, 31, 45, 75, 81, 93, 135, 155, 225, 279, 405, 465, 675, 775, 837, 1395, 2025, 2325, 2511, 4185, 6975, 12555, 20925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62760 and 62775. The biggest common factor number is the GCF number.
So the greatest common factor 62760 and 62775 is 15.

Also check out the Least Common Multiple of 62760 and 62775