What is the Greatest Common Factor of 43498 and 43514?

Greatest common factor (GCF) of 43498 and 43514 is 2.

GCF(43498,43514) = 2

We will now calculate the prime factors of 43498 and 43514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43498 and 43514.

How to find the GCF of 43498 and 43514?

We will first find the prime factorization of 43498 and 43514. After we will calculate the factors of 43498 and 43514 and find the biggest common factor number .

Step-1: Prime Factorization of 43498

Prime factors of 43498 are 2, 7, 13, 239. Prime factorization of 43498 in exponential form is:

43498 = 2¹ × 7¹ × 13¹ × 239¹

Step-2: Prime Factorization of 43514

Prime factors of 43514 are 2, 21757. Prime factorization of 43514 in exponential form is:

43514 = 2¹ × 21757¹

Step-3: Factors of 43498

List of positive integer factors of 43498 that divides 43498 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 239, 478, 1673, 3107, 3346, 6214, 21749

Step-4: Factors of 43514

List of positive integer factors of 43514 that divides 43498 without a remainder.

1, 2, 21757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43498 and 43514. The biggest common factor number is the GCF number.
So the greatest common factor 43498 and 43514 is 2.

Also check out the Least Common Multiple of 43498 and 43514