What is the Greatest Common Factor of 62865 and 62875?

Greatest common factor (GCF) of 62865 and 62875 is 5.

GCF(62865,62875) = 5

We will now calculate the prime factors of 62865 and 62875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62865 and 62875.

How to find the GCF of 62865 and 62875?

We will first find the prime factorization of 62865 and 62875. After we will calculate the factors of 62865 and 62875 and find the biggest common factor number .

Step-1: Prime Factorization of 62865

Prime factors of 62865 are 3, 5, 11, 127. Prime factorization of 62865 in exponential form is:

62865 = 3² × 5¹ × 11¹ × 127¹

Step-2: Prime Factorization of 62875

Prime factors of 62875 are 5, 503. Prime factorization of 62875 in exponential form is:

62875 = 5³ × 503¹

Step-3: Factors of 62865

List of positive integer factors of 62865 that divides 62865 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 127, 165, 381, 495, 635, 1143, 1397, 1905, 4191, 5715, 6985, 12573, 20955

Step-4: Factors of 62875

List of positive integer factors of 62875 that divides 62865 without a remainder.

1, 5, 25, 125, 503, 2515, 12575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62865 and 62875. The biggest common factor number is the GCF number.
So the greatest common factor 62865 and 62875 is 5.

Also check out the Least Common Multiple of 62865 and 62875