What is the Greatest Common Factor of 62775 and 62795?

Greatest common factor (GCF) of 62775 and 62795 is 5.

GCF(62775,62795) = 5

We will now calculate the prime factors of 62775 and 62795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62775 and 62795.

How to find the GCF of 62775 and 62795?

We will first find the prime factorization of 62775 and 62795. After we will calculate the factors of 62775 and 62795 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 62795

Prime factors of 62795 are 5, 19, 661. Prime factorization of 62795 in exponential form is:

62795 = 5¹ × 19¹ × 661¹

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 62795

List of positive integer factors of 62795 that divides 62775 without a remainder.

1, 5, 19, 95, 661, 3305, 12559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62775 and 62795. The biggest common factor number is the GCF number.
So the greatest common factor 62775 and 62795 is 5.

Also check out the Least Common Multiple of 62775 and 62795