What is the Greatest Common Factor of 10140 and 10159?

Greatest common factor (GCF) of 10140 and 10159 is 1.

GCF(10140,10159) = 1

We will now calculate the prime factors of 10140 and 10159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10140 and 10159.

How to find the GCF of 10140 and 10159?

We will first find the prime factorization of 10140 and 10159. After we will calculate the factors of 10140 and 10159 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 10159

Prime factors of 10159 are 10159. Prime factorization of 10159 in exponential form is:

10159 = 10159¹

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 10159

List of positive integer factors of 10159 that divides 10140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10140 and 10159. The biggest common factor number is the GCF number.
So the greatest common factor 10140 and 10159 is 1.

Also check out the Least Common Multiple of 10140 and 10159