What is the Greatest Common Factor of 62112 and 62128?

Greatest common factor (GCF) of 62112 and 62128 is 16.

GCF(62112,62128) = 16

We will now calculate the prime factors of 62112 and 62128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62112 and 62128.

How to find the GCF of 62112 and 62128?

We will first find the prime factorization of 62112 and 62128. After we will calculate the factors of 62112 and 62128 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 62128

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

62128 = 2⁴ × 11¹ × 353¹

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 62128

List of positive integer factors of 62128 that divides 62112 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62112 and 62128. The biggest common factor number is the GCF number.
So the greatest common factor 62112 and 62128 is 16.

Also check out the Least Common Multiple of 62112 and 62128