What is the Greatest Common Factor of 10096 and 10112?

Greatest common factor (GCF) of 10096 and 10112 is 16.

GCF(10096,10112) = 16

We will now calculate the prime factors of 10096 and 10112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10096 and 10112.

How to find the GCF of 10096 and 10112?

We will first find the prime factorization of 10096 and 10112. After we will calculate the factors of 10096 and 10112 and find the biggest common factor number .

Step-1: Prime Factorization of 10096

Prime factors of 10096 are 2, 631. Prime factorization of 10096 in exponential form is:

10096 = 2⁴ × 631¹

Step-2: Prime Factorization of 10112

Prime factors of 10112 are 2, 79. Prime factorization of 10112 in exponential form is:

10112 = 2⁷ × 79¹

Step-3: Factors of 10096

List of positive integer factors of 10096 that divides 10096 without a remainder.

1, 2, 4, 8, 16, 631, 1262, 2524, 5048

Step-4: Factors of 10112

List of positive integer factors of 10112 that divides 10096 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 316, 632, 1264, 2528, 5056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10096 and 10112. The biggest common factor number is the GCF number.
So the greatest common factor 10096 and 10112 is 16.

Also check out the Least Common Multiple of 10096 and 10112