What is the Greatest Common Factor of 12354 and 12370?

Greatest common factor (GCF) of 12354 and 12370 is 2.

GCF(12354,12370) = 2

We will now calculate the prime factors of 12354 and 12370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12354 and 12370.

How to find the GCF of 12354 and 12370?

We will first find the prime factorization of 12354 and 12370. After we will calculate the factors of 12354 and 12370 and find the biggest common factor number .

Step-1: Prime Factorization of 12354

Prime factors of 12354 are 2, 3, 29, 71. Prime factorization of 12354 in exponential form is:

12354 = 2¹ × 3¹ × 29¹ × 71¹

Step-2: Prime Factorization of 12370

Prime factors of 12370 are 2, 5, 1237. Prime factorization of 12370 in exponential form is:

12370 = 2¹ × 5¹ × 1237¹

Step-3: Factors of 12354

List of positive integer factors of 12354 that divides 12354 without a remainder.

1, 2, 3, 6, 29, 58, 71, 87, 142, 174, 213, 426, 2059, 4118, 6177

Step-4: Factors of 12370

List of positive integer factors of 12370 that divides 12354 without a remainder.

1, 2, 5, 10, 1237, 2474, 6185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12354 and 12370. The biggest common factor number is the GCF number.
So the greatest common factor 12354 and 12370 is 2.

Also check out the Least Common Multiple of 12354 and 12370