What is the Greatest Common Factor of 10112 and 10129?

Greatest common factor (GCF) of 10112 and 10129 is 1.

GCF(10112,10129) = 1

We will now calculate the prime factors of 10112 and 10129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10112 and 10129.

How to find the GCF of 10112 and 10129?

We will first find the prime factorization of 10112 and 10129. After we will calculate the factors of 10112 and 10129 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 10129

Prime factors of 10129 are 7, 1447. Prime factorization of 10129 in exponential form is:

10129 = 7¹ × 1447¹

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 10129

List of positive integer factors of 10129 that divides 10112 without a remainder.

1, 7, 1447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10112 and 10129. The biggest common factor number is the GCF number.
So the greatest common factor 10112 and 10129 is 1.

Also check out the Least Common Multiple of 10112 and 10129