What is the Greatest Common Factor of 76494 and 76513?

Greatest common factor (GCF) of 76494 and 76513 is 19.

GCF(76494,76513) = 19

We will now calculate the prime factors of 76494 and 76513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76494 and 76513.

How to find the GCF of 76494 and 76513?

We will first find the prime factorization of 76494 and 76513. After we will calculate the factors of 76494 and 76513 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 76513

Prime factors of 76513 are 19, 4027. Prime factorization of 76513 in exponential form is:

76513 = 19¹ × 4027¹

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 76513

List of positive integer factors of 76513 that divides 76494 without a remainder.

1, 19, 4027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76494 and 76513. The biggest common factor number is the GCF number.
So the greatest common factor 76494 and 76513 is 19.

Also check out the Least Common Multiple of 76494 and 76513