What is the Greatest Common Factor of 62127 and 62133?

Greatest common factor (GCF) of 62127 and 62133 is 3.

GCF(62127,62133) = 3

We will now calculate the prime factors of 62127 and 62133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62127 and 62133.

How to find the GCF of 62127 and 62133?

We will first find the prime factorization of 62127 and 62133. After we will calculate the factors of 62127 and 62133 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62133

Prime factors of 62133 are 3, 139, 149. Prime factorization of 62133 in exponential form is:

62133 = 3¹ × 139¹ × 149¹

Step-3: Factors of 62127

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

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

Step-4: Factors of 62133

List of positive integer factors of 62133 that divides 62127 without a remainder.

1, 3, 139, 149, 417, 447, 20711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62127 and 62133. The biggest common factor number is the GCF number.
So the greatest common factor 62127 and 62133 is 3.

Also check out the Least Common Multiple of 62127 and 62133