What is the Greatest Common Factor of 62112 and 62126?

Greatest common factor (GCF) of 62112 and 62126 is 2.

GCF(62112,62126) = 2

We will now calculate the prime factors of 62112 and 62126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62112 and 62126.

How to find the GCF of 62112 and 62126?

We will first find the prime factorization of 62112 and 62126. After we will calculate the factors of 62112 and 62126 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 62126

Prime factors of 62126 are 2, 31063. Prime factorization of 62126 in exponential form is:

62126 = 2¹ × 31063¹

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 62126

List of positive integer factors of 62126 that divides 62112 without a remainder.

1, 2, 31063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62112 and 62126. The biggest common factor number is the GCF number.
So the greatest common factor 62112 and 62126 is 2.

Also check out the Least Common Multiple of 62112 and 62126