What is the Greatest Common Factor of 43498 and 43507?

Greatest common factor (GCF) of 43498 and 43507 is 1.

GCF(43498,43507) = 1

We will now calculate the prime factors of 43498 and 43507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43498 and 43507.

How to find the GCF of 43498 and 43507?

We will first find the prime factorization of 43498 and 43507. After we will calculate the factors of 43498 and 43507 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 43507

Prime factors of 43507 are 139, 313. Prime factorization of 43507 in exponential form is:

43507 = 139¹ × 313¹

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 43507

List of positive integer factors of 43507 that divides 43498 without a remainder.

1, 139, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43498 and 43507. The biggest common factor number is the GCF number.
So the greatest common factor 43498 and 43507 is 1.

Also check out the Least Common Multiple of 43498 and 43507