What is the Greatest Common Factor of 4140 and 4153?

Greatest common factor (GCF) of 4140 and 4153 is 1.

GCF(4140,4153) = 1

We will now calculate the prime factors of 4140 and 4153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4140 and 4153.

How to find the GCF of 4140 and 4153?

We will first find the prime factorization of 4140 and 4153. After we will calculate the factors of 4140 and 4153 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 4153

Prime factors of 4153 are 4153. Prime factorization of 4153 in exponential form is:

4153 = 4153¹

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 4153

List of positive integer factors of 4153 that divides 4140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4140 and 4153. The biggest common factor number is the GCF number.
So the greatest common factor 4140 and 4153 is 1.

Also check out the Least Common Multiple of 4140 and 4153