What is the Greatest Common Factor of 10140 and 10155?

Greatest common factor (GCF) of 10140 and 10155 is 15.

GCF(10140,10155) = 15

We will now calculate the prime factors of 10140 and 10155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10140 and 10155.

How to find the GCF of 10140 and 10155?

We will first find the prime factorization of 10140 and 10155. After we will calculate the factors of 10140 and 10155 and find the biggest common factor number .

Step-1: Prime Factorization of 10140

Prime factors of 10140 are 2, 3, 5, 13. Prime factorization of 10140 in exponential form is:

10140 = 2² × 3¹ × 5¹ × 13²

Step-2: Prime Factorization of 10155

Prime factors of 10155 are 3, 5, 677. Prime factorization of 10155 in exponential form is:

10155 = 3¹ × 5¹ × 677¹

Step-3: Factors of 10140

List of positive integer factors of 10140 that divides 10140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 169, 195, 260, 338, 390, 507, 676, 780, 845, 1014, 1690, 2028, 2535, 3380, 5070

Step-4: Factors of 10155

List of positive integer factors of 10155 that divides 10140 without a remainder.

1, 3, 5, 15, 677, 2031, 3385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10140 and 10155. The biggest common factor number is the GCF number.
So the greatest common factor 10140 and 10155 is 15.

Also check out the Least Common Multiple of 10140 and 10155