What is the Greatest Common Factor of 4140 and 4152?

Greatest common factor (GCF) of 4140 and 4152 is 12.

GCF(4140,4152) = 12

We will now calculate the prime factors of 4140 and 4152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4140 and 4152.

How to find the GCF of 4140 and 4152?

We will first find the prime factorization of 4140 and 4152. After we will calculate the factors of 4140 and 4152 and find the biggest common factor number .

Step-1: Prime Factorization of 4140

Prime factors of 4140 are 2, 3, 5, 23. Prime factorization of 4140 in exponential form is:

4140 = 2² × 3² × 5¹ × 23¹

Step-2: Prime Factorization of 4152

Prime factors of 4152 are 2, 3, 173. Prime factorization of 4152 in exponential form is:

4152 = 2³ × 3¹ × 173¹

Step-3: Factors of 4140

List of positive integer factors of 4140 that divides 4140 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 690, 828, 1035, 1380, 2070

Step-4: Factors of 4152

List of positive integer factors of 4152 that divides 4140 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 173, 346, 519, 692, 1038, 1384, 2076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4140 and 4152. The biggest common factor number is the GCF number.
So the greatest common factor 4140 and 4152 is 12.

Also check out the Least Common Multiple of 4140 and 4152