What is the Greatest Common Factor of 76494 and 76498?

Greatest common factor (GCF) of 76494 and 76498 is 2.

GCF(76494,76498) = 2

We will now calculate the prime factors of 76494 and 76498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76494 and 76498.

How to find the GCF of 76494 and 76498?

We will first find the prime factorization of 76494 and 76498. After we will calculate the factors of 76494 and 76498 and find the biggest common factor number .

Step-1: Prime Factorization of 76494

Prime factors of 76494 are 2, 3, 11, 19, 61. Prime factorization of 76494 in exponential form is:

76494 = 2¹ × 3¹ × 11¹ × 19¹ × 61¹

Step-2: 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-3: Factors of 76494

List of positive integer factors of 76494 that divides 76494 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 61, 66, 114, 122, 183, 209, 366, 418, 627, 671, 1159, 1254, 1342, 2013, 2318, 3477, 4026, 6954, 12749, 25498, 38247

Step-4: Factors of 76498

List of positive integer factors of 76498 that divides 76494 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76494 and 76498. The biggest common factor number is the GCF number.
So the greatest common factor 76494 and 76498 is 2.

Also check out the Least Common Multiple of 76494 and 76498