What is the Greatest Common Factor of 10140 and 10156?

Greatest common factor (GCF) of 10140 and 10156 is 4.

GCF(10140,10156) = 4

We will now calculate the prime factors of 10140 and 10156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10140 and 10156.

How to find the GCF of 10140 and 10156?

We will first find the prime factorization of 10140 and 10156. After we will calculate the factors of 10140 and 10156 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 10156

Prime factors of 10156 are 2, 2539. Prime factorization of 10156 in exponential form is:

10156 = 2² × 2539¹

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 10156

List of positive integer factors of 10156 that divides 10140 without a remainder.

1, 2, 4, 2539, 5078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10140 and 10156. The biggest common factor number is the GCF number.
So the greatest common factor 10140 and 10156 is 4.

Also check out the Least Common Multiple of 10140 and 10156