What is the Greatest Common Factor of 10120 and 10128?

Greatest common factor (GCF) of 10120 and 10128 is 8.

GCF(10120,10128) = 8

We will now calculate the prime factors of 10120 and 10128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10120 and 10128.

How to find the GCF of 10120 and 10128?

We will first find the prime factorization of 10120 and 10128. After we will calculate the factors of 10120 and 10128 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 10128

Prime factors of 10128 are 2, 3, 211. Prime factorization of 10128 in exponential form is:

10128 = 2⁴ × 3¹ × 211¹

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 10128

List of positive integer factors of 10128 that divides 10120 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 211, 422, 633, 844, 1266, 1688, 2532, 3376, 5064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10120 and 10128. The biggest common factor number is the GCF number.
So the greatest common factor 10120 and 10128 is 8.

Also check out the Least Common Multiple of 10120 and 10128