What is the Greatest Common Factor of 43485 and 43498?

Greatest common factor (GCF) of 43485 and 43498 is 13.

GCF(43485,43498) = 13

We will now calculate the prime factors of 43485 and 43498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43485 and 43498.

How to find the GCF of 43485 and 43498?

We will first find the prime factorization of 43485 and 43498. After we will calculate the factors of 43485 and 43498 and find the biggest common factor number .

Step-1: Prime Factorization of 43485

Prime factors of 43485 are 3, 5, 13, 223. Prime factorization of 43485 in exponential form is:

43485 = 3¹ × 5¹ × 13¹ × 223¹

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 43485

List of positive integer factors of 43485 that divides 43485 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 223, 669, 1115, 2899, 3345, 8697, 14495

Step-4: Factors of 43498

List of positive integer factors of 43498 that divides 43485 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 43485 and 43498. The biggest common factor number is the GCF number.
So the greatest common factor 43485 and 43498 is 13.

Also check out the Least Common Multiple of 43485 and 43498