What is the Greatest Common Factor of 73654 and 73664?

Greatest common factor (GCF) of 73654 and 73664 is 2.

GCF(73654,73664) = 2

We will now calculate the prime factors of 73654 and 73664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73654 and 73664.

How to find the GCF of 73654 and 73664?

We will first find the prime factorization of 73654 and 73664. After we will calculate the factors of 73654 and 73664 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73664

Prime factors of 73664 are 2, 1151. Prime factorization of 73664 in exponential form is:

73664 = 2⁶ × 1151¹

Step-3: Factors of 73654

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

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

Step-4: Factors of 73664

List of positive integer factors of 73664 that divides 73654 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1151, 2302, 4604, 9208, 18416, 36832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73654 and 73664. The biggest common factor number is the GCF number.
So the greatest common factor 73654 and 73664 is 2.

Also check out the Least Common Multiple of 73654 and 73664