What is the Greatest Common Factor of 62775 and 62785?

Greatest common factor (GCF) of 62775 and 62785 is 5.

GCF(62775,62785) = 5

We will now calculate the prime factors of 62775 and 62785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62775 and 62785.

How to find the GCF of 62775 and 62785?

We will first find the prime factorization of 62775 and 62785. After we will calculate the factors of 62775 and 62785 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62785

Prime factors of 62785 are 5, 29, 433. Prime factorization of 62785 in exponential form is:

62785 = 5¹ × 29¹ × 433¹

Step-3: Factors of 62775

List of positive integer factors of 62775 that divides 62775 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

Step-4: Factors of 62785

List of positive integer factors of 62785 that divides 62775 without a remainder.

1, 5, 29, 145, 433, 2165, 12557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62775 and 62785. The biggest common factor number is the GCF number.
So the greatest common factor 62775 and 62785 is 5.

Also check out the Least Common Multiple of 62775 and 62785