What is the Greatest Common Factor of 75486 and 75498?

Greatest common factor (GCF) of 75486 and 75498 is 6.

GCF(75486,75498) = 6

We will now calculate the prime factors of 75486 and 75498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75486 and 75498.

How to find the GCF of 75486 and 75498?

We will first find the prime factorization of 75486 and 75498. After we will calculate the factors of 75486 and 75498 and find the biggest common factor number .

Step-1: Prime Factorization of 75486

Prime factors of 75486 are 2, 3, 23, 547. Prime factorization of 75486 in exponential form is:

75486 = 2¹ × 3¹ × 23¹ × 547¹

Step-2: Prime Factorization of 75498

Prime factors of 75498 are 2, 3, 12583. Prime factorization of 75498 in exponential form is:

75498 = 2¹ × 3¹ × 12583¹

Step-3: Factors of 75486

List of positive integer factors of 75486 that divides 75486 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 547, 1094, 1641, 3282, 12581, 25162, 37743

Step-4: Factors of 75498

List of positive integer factors of 75498 that divides 75486 without a remainder.

1, 2, 3, 6, 12583, 25166, 37749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75486 and 75498. The biggest common factor number is the GCF number.
So the greatest common factor 75486 and 75498 is 6.

Also check out the Least Common Multiple of 75486 and 75498