What is the Greatest Common Factor of 10112 and 10117?

Greatest common factor (GCF) of 10112 and 10117 is 1.

GCF(10112,10117) = 1

We will now calculate the prime factors of 10112 and 10117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10112 and 10117.

How to find the GCF of 10112 and 10117?

We will first find the prime factorization of 10112 and 10117. After we will calculate the factors of 10112 and 10117 and find the biggest common factor number .

Step-1: Prime Factorization of 10112

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

10112 = 2⁷ × 79¹

Step-2: Prime Factorization of 10117

Prime factors of 10117 are 67, 151. Prime factorization of 10117 in exponential form is:

10117 = 67¹ × 151¹

Step-3: Factors of 10112

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

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

Step-4: Factors of 10117

List of positive integer factors of 10117 that divides 10112 without a remainder.

1, 67, 151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10112 and 10117. The biggest common factor number is the GCF number.
So the greatest common factor 10112 and 10117 is 1.

Also check out the Least Common Multiple of 10112 and 10117