What is the Greatest Common Factor of 62112 and 62127?

Greatest common factor (GCF) of 62112 and 62127 is 3.

GCF(62112,62127) = 3

We will now calculate the prime factors of 62112 and 62127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62112 and 62127.

How to find the GCF of 62112 and 62127?

We will first find the prime factorization of 62112 and 62127. After we will calculate the factors of 62112 and 62127 and find the biggest common factor number .

Step-1: Prime Factorization of 62112

Prime factors of 62112 are 2, 3, 647. Prime factorization of 62112 in exponential form is:

62112 = 2⁵ × 3¹ × 647¹

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 62112

List of positive integer factors of 62112 that divides 62112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 647, 1294, 1941, 2588, 3882, 5176, 7764, 10352, 15528, 20704, 31056

Step-4: Factors of 62127

List of positive integer factors of 62127 that divides 62112 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 62112 and 62127. The biggest common factor number is the GCF number.
So the greatest common factor 62112 and 62127 is 3.

Also check out the Least Common Multiple of 62112 and 62127