What is the Greatest Common Factor of 12940 and 12949?

Greatest common factor (GCF) of 12940 and 12949 is 1.

GCF(12940,12949) = 1

We will now calculate the prime factors of 12940 and 12949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12940 and 12949.

How to find the GCF of 12940 and 12949?

We will first find the prime factorization of 12940 and 12949. After we will calculate the factors of 12940 and 12949 and find the biggest common factor number .

Step-1: Prime Factorization of 12940

Prime factors of 12940 are 2, 5, 647. Prime factorization of 12940 in exponential form is:

12940 = 2² × 5¹ × 647¹

Step-2: Prime Factorization of 12949

Prime factors of 12949 are 23, 563. Prime factorization of 12949 in exponential form is:

12949 = 23¹ × 563¹

Step-3: Factors of 12940

List of positive integer factors of 12940 that divides 12940 without a remainder.

1, 2, 4, 5, 10, 20, 647, 1294, 2588, 3235, 6470

Step-4: Factors of 12949

List of positive integer factors of 12949 that divides 12940 without a remainder.

1, 23, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12940 and 12949. The biggest common factor number is the GCF number.
So the greatest common factor 12940 and 12949 is 1.

Also check out the Least Common Multiple of 12940 and 12949