What is the Greatest Common Factor of 76498 and 76503?

Greatest common factor (GCF) of 76498 and 76503 is 1.

GCF(76498,76503) = 1

We will now calculate the prime factors of 76498 and 76503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76498 and 76503.

How to find the GCF of 76498 and 76503?

We will first find the prime factorization of 76498 and 76503. After we will calculate the factors of 76498 and 76503 and find the biggest common factor number .

Step-1: Prime Factorization of 76498

Prime factors of 76498 are 2, 23, 1663. Prime factorization of 76498 in exponential form is:

76498 = 2¹ × 23¹ × 1663¹

Step-2: Prime Factorization of 76503

Prime factors of 76503 are 3, 7, 3643. Prime factorization of 76503 in exponential form is:

76503 = 3¹ × 7¹ × 3643¹

Step-3: Factors of 76498

List of positive integer factors of 76498 that divides 76498 without a remainder.

1, 2, 23, 46, 1663, 3326, 38249

Step-4: Factors of 76503

List of positive integer factors of 76503 that divides 76498 without a remainder.

1, 3, 7, 21, 3643, 10929, 25501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76498 and 76503. The biggest common factor number is the GCF number.
So the greatest common factor 76498 and 76503 is 1.

Also check out the Least Common Multiple of 76498 and 76503