What is the Greatest Common Factor of 62115 and 62127?

Greatest common factor (GCF) of 62115 and 62127 is 3.

GCF(62115,62127) = 3

We will now calculate the prime factors of 62115 and 62127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62115 and 62127.

How to find the GCF of 62115 and 62127?

We will first find the prime factorization of 62115 and 62127. After we will calculate the factors of 62115 and 62127 and find the biggest common factor number .

Step-1: Prime Factorization of 62115

Prime factors of 62115 are 3, 5, 41, 101. Prime factorization of 62115 in exponential form is:

62115 = 3¹ × 5¹ × 41¹ × 101¹

Step-2: Prime Factorization of 62127

Prime factors of 62127 are 3, 13, 59. Prime factorization of 62127 in exponential form is:

62127 = 3⁴ × 13¹ × 59¹

Step-3: Factors of 62115

List of positive integer factors of 62115 that divides 62115 without a remainder.

1, 3, 5, 15, 41, 101, 123, 205, 303, 505, 615, 1515, 4141, 12423, 20705

Step-4: Factors of 62127

List of positive integer factors of 62127 that divides 62115 without a remainder.

1, 3, 9, 13, 27, 39, 59, 81, 117, 177, 351, 531, 767, 1053, 1593, 2301, 4779, 6903, 20709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62115 and 62127. The biggest common factor number is the GCF number.
So the greatest common factor 62115 and 62127 is 3.

Also check out the Least Common Multiple of 62115 and 62127