What is the Greatest Common Factor of 10140 and 10152?

Greatest common factor (GCF) of 10140 and 10152 is 12.

GCF(10140,10152) = 12

We will now calculate the prime factors of 10140 and 10152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10140 and 10152.

How to find the GCF of 10140 and 10152?

We will first find the prime factorization of 10140 and 10152. After we will calculate the factors of 10140 and 10152 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 10152

Prime factors of 10152 are 2, 3, 47. Prime factorization of 10152 in exponential form is:

10152 = 2³ × 3³ × 47¹

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 10152

List of positive integer factors of 10152 that divides 10140 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 47, 54, 72, 94, 108, 141, 188, 216, 282, 376, 423, 564, 846, 1128, 1269, 1692, 2538, 3384, 5076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10140 and 10152. The biggest common factor number is the GCF number.
So the greatest common factor 10140 and 10152 is 12.

Also check out the Least Common Multiple of 10140 and 10152