What is the Greatest Common Factor of 83498 and 83503?

Greatest common factor (GCF) of 83498 and 83503 is 1.

GCF(83498,83503) = 1

We will now calculate the prime factors of 83498 and 83503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83498 and 83503.

How to find the GCF of 83498 and 83503?

We will first find the prime factorization of 83498 and 83503. After we will calculate the factors of 83498 and 83503 and find the biggest common factor number .

Step-1: Prime Factorization of 83498

Prime factors of 83498 are 2, 83, 503. Prime factorization of 83498 in exponential form is:

83498 = 2¹ × 83¹ × 503¹

Step-2: Prime Factorization of 83503

Prime factors of 83503 are 7, 79, 151. Prime factorization of 83503 in exponential form is:

83503 = 7¹ × 79¹ × 151¹

Step-3: Factors of 83498

List of positive integer factors of 83498 that divides 83498 without a remainder.

1, 2, 83, 166, 503, 1006, 41749

Step-4: Factors of 83503

List of positive integer factors of 83503 that divides 83498 without a remainder.

1, 7, 79, 151, 553, 1057, 11929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83498 and 83503. The biggest common factor number is the GCF number.
So the greatest common factor 83498 and 83503 is 1.

Also check out the Least Common Multiple of 83498 and 83503