What is the Greatest Common Factor of 43484 and 43498?

Greatest common factor (GCF) of 43484 and 43498 is 14.

GCF(43484,43498) = 14

We will now calculate the prime factors of 43484 and 43498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43484 and 43498.

How to find the GCF of 43484 and 43498?

We will first find the prime factorization of 43484 and 43498. After we will calculate the factors of 43484 and 43498 and find the biggest common factor number .

Step-1: Prime Factorization of 43484

Prime factors of 43484 are 2, 7, 1553. Prime factorization of 43484 in exponential form is:

43484 = 2² × 7¹ × 1553¹

Step-2: 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-3: Factors of 43484

List of positive integer factors of 43484 that divides 43484 without a remainder.

1, 2, 4, 7, 14, 28, 1553, 3106, 6212, 10871, 21742

Step-4: Factors of 43498

List of positive integer factors of 43498 that divides 43484 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43484 and 43498. The biggest common factor number is the GCF number.
So the greatest common factor 43484 and 43498 is 14.

Also check out the Least Common Multiple of 43484 and 43498