What is the Greatest Common Factor of 43489 and 43498?

Greatest common factor (GCF) of 43489 and 43498 is 1.

GCF(43489,43498) = 1

We will now calculate the prime factors of 43489 and 43498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43489 and 43498.

How to find the GCF of 43489 and 43498?

We will first find the prime factorization of 43489 and 43498. After we will calculate the factors of 43489 and 43498 and find the biggest common factor number .

Step-1: Prime Factorization of 43489

Prime factors of 43489 are 157, 277. Prime factorization of 43489 in exponential form is:

43489 = 157¹ × 277¹

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 43489

List of positive integer factors of 43489 that divides 43489 without a remainder.

1, 157, 277

Step-4: Factors of 43498

List of positive integer factors of 43498 that divides 43489 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 43489 and 43498. The biggest common factor number is the GCF number.
So the greatest common factor 43489 and 43498 is 1.

Also check out the Least Common Multiple of 43489 and 43498