What is the Greatest Common Factor of 73456 and 73464?

Greatest common factor (GCF) of 73456 and 73464 is 8.

GCF(73456,73464) = 8

We will now calculate the prime factors of 73456 and 73464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73456 and 73464.

How to find the GCF of 73456 and 73464?

We will first find the prime factorization of 73456 and 73464. After we will calculate the factors of 73456 and 73464 and find the biggest common factor number .

Step-1: Prime Factorization of 73456

Prime factors of 73456 are 2, 4591. Prime factorization of 73456 in exponential form is:

73456 = 2⁴ × 4591¹

Step-2: Prime Factorization of 73464

Prime factors of 73464 are 2, 3, 3061. Prime factorization of 73464 in exponential form is:

73464 = 2³ × 3¹ × 3061¹

Step-3: Factors of 73456

List of positive integer factors of 73456 that divides 73456 without a remainder.

1, 2, 4, 8, 16, 4591, 9182, 18364, 36728

Step-4: Factors of 73464

List of positive integer factors of 73464 that divides 73456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3061, 6122, 9183, 12244, 18366, 24488, 36732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73456 and 73464. The biggest common factor number is the GCF number.
So the greatest common factor 73456 and 73464 is 8.

Also check out the Least Common Multiple of 73456 and 73464