What is the Greatest Common Factor of 76467 and 76482?

Greatest common factor (GCF) of 76467 and 76482 is 3.

GCF(76467,76482) = 3

We will now calculate the prime factors of 76467 and 76482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76467 and 76482.

How to find the GCF of 76467 and 76482?

We will first find the prime factorization of 76467 and 76482. After we will calculate the factors of 76467 and 76482 and find the biggest common factor number .

Step-1: Prime Factorization of 76467

Prime factors of 76467 are 3, 71, 359. Prime factorization of 76467 in exponential form is:

76467 = 3¹ × 71¹ × 359¹

Step-2: Prime Factorization of 76482

Prime factors of 76482 are 2, 3, 7, 607. Prime factorization of 76482 in exponential form is:

76482 = 2¹ × 3² × 7¹ × 607¹

Step-3: Factors of 76467

List of positive integer factors of 76467 that divides 76467 without a remainder.

1, 3, 71, 213, 359, 1077, 25489

Step-4: Factors of 76482

List of positive integer factors of 76482 that divides 76467 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 607, 1214, 1821, 3642, 4249, 5463, 8498, 10926, 12747, 25494, 38241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76467 and 76482. The biggest common factor number is the GCF number.
So the greatest common factor 76467 and 76482 is 3.

Also check out the Least Common Multiple of 76467 and 76482