What is the Greatest Common Factor of 73647 and 73654?

Greatest common factor (GCF) of 73647 and 73654 is 7.

GCF(73647,73654) = 7

We will now calculate the prime factors of 73647 and 73654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73647 and 73654.

How to find the GCF of 73647 and 73654?

We will first find the prime factorization of 73647 and 73654. After we will calculate the factors of 73647 and 73654 and find the biggest common factor number .

Step-1: Prime Factorization of 73647

Prime factors of 73647 are 3, 7, 167. Prime factorization of 73647 in exponential form is:

73647 = 3² × 7² × 167¹

Step-2: Prime Factorization of 73654

Prime factors of 73654 are 2, 7, 5261. Prime factorization of 73654 in exponential form is:

73654 = 2¹ × 7¹ × 5261¹

Step-3: Factors of 73647

List of positive integer factors of 73647 that divides 73647 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 167, 441, 501, 1169, 1503, 3507, 8183, 10521, 24549

Step-4: Factors of 73654

List of positive integer factors of 73654 that divides 73647 without a remainder.

1, 2, 7, 14, 5261, 10522, 36827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73647 and 73654. The biggest common factor number is the GCF number.
So the greatest common factor 73647 and 73654 is 7.

Also check out the Least Common Multiple of 73647 and 73654