What is the Greatest Common Factor of 48498 and 48517?

Greatest common factor (GCF) of 48498 and 48517 is 1.

GCF(48498,48517) = 1

We will now calculate the prime factors of 48498 and 48517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48498 and 48517.

How to find the GCF of 48498 and 48517?

We will first find the prime factorization of 48498 and 48517. After we will calculate the factors of 48498 and 48517 and find the biggest common factor number .

Step-1: Prime Factorization of 48498

Prime factors of 48498 are 2, 3, 59, 137. Prime factorization of 48498 in exponential form is:

48498 = 2¹ × 3¹ × 59¹ × 137¹

Step-2: Prime Factorization of 48517

Prime factors of 48517 are 7, 29, 239. Prime factorization of 48517 in exponential form is:

48517 = 7¹ × 29¹ × 239¹

Step-3: Factors of 48498

List of positive integer factors of 48498 that divides 48498 without a remainder.

1, 2, 3, 6, 59, 118, 137, 177, 274, 354, 411, 822, 8083, 16166, 24249

Step-4: Factors of 48517

List of positive integer factors of 48517 that divides 48498 without a remainder.

1, 7, 29, 203, 239, 1673, 6931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48498 and 48517. The biggest common factor number is the GCF number.
So the greatest common factor 48498 and 48517 is 1.

Also check out the Least Common Multiple of 48498 and 48517