What is the Greatest Common Factor of 62096 and 62112?

Greatest common factor (GCF) of 62096 and 62112 is 16.

GCF(62096,62112) = 16

We will now calculate the prime factors of 62096 and 62112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62096 and 62112.

How to find the GCF of 62096 and 62112?

We will first find the prime factorization of 62096 and 62112. After we will calculate the factors of 62096 and 62112 and find the biggest common factor number .

Step-1: Prime Factorization of 62096

Prime factors of 62096 are 2, 3881. Prime factorization of 62096 in exponential form is:

62096 = 2⁴ × 3881¹

Step-2: 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-3: Factors of 62096

List of positive integer factors of 62096 that divides 62096 without a remainder.

1, 2, 4, 8, 16, 3881, 7762, 15524, 31048

Step-4: Factors of 62112

List of positive integer factors of 62112 that divides 62096 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62096 and 62112. The biggest common factor number is the GCF number.
So the greatest common factor 62096 and 62112 is 16.

Also check out the Least Common Multiple of 62096 and 62112