What is the Greatest Common Factor of 73664 and 73684?

Greatest common factor (GCF) of 73664 and 73684 is 4.

GCF(73664,73684) = 4

We will now calculate the prime factors of 73664 and 73684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73664 and 73684.

How to find the GCF of 73664 and 73684?

We will first find the prime factorization of 73664 and 73684. After we will calculate the factors of 73664 and 73684 and find the biggest common factor number .

Step-1: Prime Factorization of 73664

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

73664 = 2⁶ × 1151¹

Step-2: Prime Factorization of 73684

Prime factors of 73684 are 2, 13, 109. Prime factorization of 73684 in exponential form is:

73684 = 2² × 13² × 109¹

Step-3: Factors of 73664

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

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

Step-4: Factors of 73684

List of positive integer factors of 73684 that divides 73664 without a remainder.

1, 2, 4, 13, 26, 52, 109, 169, 218, 338, 436, 676, 1417, 2834, 5668, 18421, 36842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73664 and 73684. The biggest common factor number is the GCF number.
So the greatest common factor 73664 and 73684 is 4.

Also check out the Least Common Multiple of 73664 and 73684