What is the Greatest Common Factor of 75654 and 75663?

Greatest common factor (GCF) of 75654 and 75663 is 9.

GCF(75654,75663) = 9

We will now calculate the prime factors of 75654 and 75663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75654 and 75663.

How to find the GCF of 75654 and 75663?

We will first find the prime factorization of 75654 and 75663. After we will calculate the factors of 75654 and 75663 and find the biggest common factor number .

Step-1: Prime Factorization of 75654

Prime factors of 75654 are 2, 3, 467. Prime factorization of 75654 in exponential form is:

75654 = 2¹ × 3⁴ × 467¹

Step-2: Prime Factorization of 75663

Prime factors of 75663 are 3, 7, 1201. Prime factorization of 75663 in exponential form is:

75663 = 3² × 7¹ × 1201¹

Step-3: Factors of 75654

List of positive integer factors of 75654 that divides 75654 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 467, 934, 1401, 2802, 4203, 8406, 12609, 25218, 37827

Step-4: Factors of 75663

List of positive integer factors of 75663 that divides 75654 without a remainder.

1, 3, 7, 9, 21, 63, 1201, 3603, 8407, 10809, 25221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75654 and 75663. The biggest common factor number is the GCF number.
So the greatest common factor 75654 and 75663 is 9.

Also check out the Least Common Multiple of 75654 and 75663