What is the Greatest Common Factor of 12140 and 12151?

Greatest common factor (GCF) of 12140 and 12151 is 1.

GCF(12140,12151) = 1

We will now calculate the prime factors of 12140 and 12151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12140 and 12151.

How to find the GCF of 12140 and 12151?

We will first find the prime factorization of 12140 and 12151. After we will calculate the factors of 12140 and 12151 and find the biggest common factor number .

Step-1: Prime Factorization of 12140

Prime factors of 12140 are 2, 5, 607. Prime factorization of 12140 in exponential form is:

12140 = 2² × 5¹ × 607¹

Step-2: Prime Factorization of 12151

Prime factors of 12151 are 29, 419. Prime factorization of 12151 in exponential form is:

12151 = 29¹ × 419¹

Step-3: Factors of 12140

List of positive integer factors of 12140 that divides 12140 without a remainder.

1, 2, 4, 5, 10, 20, 607, 1214, 2428, 3035, 6070

Step-4: Factors of 12151

List of positive integer factors of 12151 that divides 12140 without a remainder.

1, 29, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12140 and 12151. The biggest common factor number is the GCF number.
So the greatest common factor 12140 and 12151 is 1.

Also check out the Least Common Multiple of 12140 and 12151