What is the Greatest Common Factor of 10120 and 10135?

Greatest common factor (GCF) of 10120 and 10135 is 5.

GCF(10120,10135) = 5

We will now calculate the prime factors of 10120 and 10135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10120 and 10135.

How to find the GCF of 10120 and 10135?

We will first find the prime factorization of 10120 and 10135. After we will calculate the factors of 10120 and 10135 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 10135

Prime factors of 10135 are 5, 2027. Prime factorization of 10135 in exponential form is:

10135 = 5¹ × 2027¹

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 10135

List of positive integer factors of 10135 that divides 10120 without a remainder.

1, 5, 2027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10120 and 10135. The biggest common factor number is the GCF number.
So the greatest common factor 10120 and 10135 is 5.

Also check out the Least Common Multiple of 10120 and 10135