What is the Greatest Common Factor of 75657 and 75663?

Greatest common factor (GCF) of 75657 and 75663 is 3.

GCF(75657,75663) = 3

We will now calculate the prime factors of 75657 and 75663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75657 and 75663.

How to find the GCF of 75657 and 75663?

We will first find the prime factorization of 75657 and 75663. After we will calculate the factors of 75657 and 75663 and find the biggest common factor number .

Step-1: Prime Factorization of 75657

Prime factors of 75657 are 3, 25219. Prime factorization of 75657 in exponential form is:

75657 = 3¹ × 25219¹

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 75657

List of positive integer factors of 75657 that divides 75657 without a remainder.

1, 3, 25219

Step-4: Factors of 75663

List of positive integer factors of 75663 that divides 75657 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 75657 and 75663. The biggest common factor number is the GCF number.
So the greatest common factor 75657 and 75663 is 3.

Also check out the Least Common Multiple of 75657 and 75663