What is the Greatest Common Factor of 62128 and 62138?

Greatest common factor (GCF) of 62128 and 62138 is 2.

GCF(62128,62138) = 2

We will now calculate the prime factors of 62128 and 62138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62128 and 62138.

How to find the GCF of 62128 and 62138?

We will first find the prime factorization of 62128 and 62138. After we will calculate the factors of 62128 and 62138 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 62138

Prime factors of 62138 are 2, 31069. Prime factorization of 62138 in exponential form is:

62138 = 2¹ × 31069¹

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 62138

List of positive integer factors of 62138 that divides 62128 without a remainder.

1, 2, 31069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62128 and 62138. The biggest common factor number is the GCF number.
So the greatest common factor 62128 and 62138 is 2.

Also check out the Least Common Multiple of 62128 and 62138