What is the Greatest Common Factor of 62128 and 62139?

Greatest common factor (GCF) of 62128 and 62139 is 11.

GCF(62128,62139) = 11

We will now calculate the prime factors of 62128 and 62139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62128 and 62139.

How to find the GCF of 62128 and 62139?

We will first find the prime factorization of 62128 and 62139. After we will calculate the factors of 62128 and 62139 and find the biggest common factor number .

Step-1: Prime Factorization of 62128

Prime factors of 62128 are 2, 11, 353. Prime factorization of 62128 in exponential form is:

62128 = 2⁴ × 11¹ × 353¹

Step-2: 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-3: Factors of 62128

List of positive integer factors of 62128 that divides 62128 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 353, 706, 1412, 2824, 3883, 5648, 7766, 15532, 31064

Step-4: Factors of 62139

List of positive integer factors of 62139 that divides 62128 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62128 and 62139. The biggest common factor number is the GCF number.
So the greatest common factor 62128 and 62139 is 11.

Also check out the Least Common Multiple of 62128 and 62139