What is the Greatest Common Factor of 4140 and 4148?

Greatest common factor (GCF) of 4140 and 4148 is 4.

GCF(4140,4148) = 4

We will now calculate the prime factors of 4140 and 4148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4140 and 4148.

How to find the GCF of 4140 and 4148?

We will first find the prime factorization of 4140 and 4148. After we will calculate the factors of 4140 and 4148 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 4148

Prime factors of 4148 are 2, 17, 61. Prime factorization of 4148 in exponential form is:

4148 = 2² × 17¹ × 61¹

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 4148

List of positive integer factors of 4148 that divides 4140 without a remainder.

1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4140 and 4148. The biggest common factor number is the GCF number.
So the greatest common factor 4140 and 4148 is 4.

Also check out the Least Common Multiple of 4140 and 4148