What is the Greatest Common Factor of 62139 and 62146?

Greatest common factor (GCF) of 62139 and 62146 is 7.

GCF(62139,62146) = 7

We will now calculate the prime factors of 62139 and 62146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62139 and 62146.

How to find the GCF of 62139 and 62146?

We will first find the prime factorization of 62139 and 62146. After we will calculate the factors of 62139 and 62146 and find the biggest common factor number .

Step-1: Prime Factorization of 62139

Prime factors of 62139 are 3, 7, 11, 269. Prime factorization of 62139 in exponential form is:

62139 = 3¹ × 7¹ × 11¹ × 269¹

Step-2: Prime Factorization of 62146

Prime factors of 62146 are 2, 7, 23, 193. Prime factorization of 62146 in exponential form is:

62146 = 2¹ × 7¹ × 23¹ × 193¹

Step-3: Factors of 62139

List of positive integer factors of 62139 that divides 62139 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 269, 807, 1883, 2959, 5649, 8877, 20713

Step-4: Factors of 62146

List of positive integer factors of 62146 that divides 62139 without a remainder.

1, 2, 7, 14, 23, 46, 161, 193, 322, 386, 1351, 2702, 4439, 8878, 31073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62139 and 62146. The biggest common factor number is the GCF number.
So the greatest common factor 62139 and 62146 is 7.

Also check out the Least Common Multiple of 62139 and 62146