What is the Greatest Common Factor of 76498 and 76504?

Greatest common factor (GCF) of 76498 and 76504 is 2.

GCF(76498,76504) = 2

We will now calculate the prime factors of 76498 and 76504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76498 and 76504.

How to find the GCF of 76498 and 76504?

We will first find the prime factorization of 76498 and 76504. After we will calculate the factors of 76498 and 76504 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 76504

Prime factors of 76504 are 2, 73, 131. Prime factorization of 76504 in exponential form is:

76504 = 2³ × 73¹ × 131¹

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 76504

List of positive integer factors of 76504 that divides 76498 without a remainder.

1, 2, 4, 8, 73, 131, 146, 262, 292, 524, 584, 1048, 9563, 19126, 38252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76498 and 76504. The biggest common factor number is the GCF number.
So the greatest common factor 76498 and 76504 is 2.

Also check out the Least Common Multiple of 76498 and 76504