What is the Greatest Common Factor of 12340 and 12350?

Greatest common factor (GCF) of 12340 and 12350 is 10.

GCF(12340,12350) = 10

We will now calculate the prime factors of 12340 and 12350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12340 and 12350.

How to find the GCF of 12340 and 12350?

We will first find the prime factorization of 12340 and 12350. After we will calculate the factors of 12340 and 12350 and find the biggest common factor number .

Step-1: Prime Factorization of 12340

Prime factors of 12340 are 2, 5, 617. Prime factorization of 12340 in exponential form is:

12340 = 2² × 5¹ × 617¹

Step-2: Prime Factorization of 12350

Prime factors of 12350 are 2, 5, 13, 19. Prime factorization of 12350 in exponential form is:

12350 = 2¹ × 5² × 13¹ × 19¹

Step-3: Factors of 12340

List of positive integer factors of 12340 that divides 12340 without a remainder.

1, 2, 4, 5, 10, 20, 617, 1234, 2468, 3085, 6170

Step-4: Factors of 12350

List of positive integer factors of 12350 that divides 12340 without a remainder.

1, 2, 5, 10, 13, 19, 25, 26, 38, 50, 65, 95, 130, 190, 247, 325, 475, 494, 650, 950, 1235, 2470, 6175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12340 and 12350. The biggest common factor number is the GCF number.
So the greatest common factor 12340 and 12350 is 10.

Also check out the Least Common Multiple of 12340 and 12350