What is the Greatest Common Factor of 10120 and 10139?

Greatest common factor (GCF) of 10120 and 10139 is 1.

GCF(10120,10139) = 1

We will now calculate the prime factors of 10120 and 10139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10120 and 10139.

How to find the GCF of 10120 and 10139?

We will first find the prime factorization of 10120 and 10139. After we will calculate the factors of 10120 and 10139 and find the biggest common factor number .

Step-1: Prime Factorization of 10120

Prime factors of 10120 are 2, 5, 11, 23. Prime factorization of 10120 in exponential form is:

10120 = 2³ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 10139

Prime factors of 10139 are 10139. Prime factorization of 10139 in exponential form is:

10139 = 10139¹

Step-3: Factors of 10120

List of positive integer factors of 10120 that divides 10120 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 23, 40, 44, 46, 55, 88, 92, 110, 115, 184, 220, 230, 253, 440, 460, 506, 920, 1012, 1265, 2024, 2530, 5060

Step-4: Factors of 10139

List of positive integer factors of 10139 that divides 10120 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10120 and 10139. The biggest common factor number is the GCF number.
So the greatest common factor 10120 and 10139 is 1.

Also check out the Least Common Multiple of 10120 and 10139