What is the Greatest Common Factor of 73504 and 73520?

Greatest common factor (GCF) of 73504 and 73520 is 16.

GCF(73504,73520) = 16

We will now calculate the prime factors of 73504 and 73520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73504 and 73520.

How to find the GCF of 73504 and 73520?

We will first find the prime factorization of 73504 and 73520. After we will calculate the factors of 73504 and 73520 and find the biggest common factor number .

Step-1: Prime Factorization of 73504

Prime factors of 73504 are 2, 2297. Prime factorization of 73504 in exponential form is:

73504 = 2⁵ × 2297¹

Step-2: Prime Factorization of 73520

Prime factors of 73520 are 2, 5, 919. Prime factorization of 73520 in exponential form is:

73520 = 2⁴ × 5¹ × 919¹

Step-3: Factors of 73504

List of positive integer factors of 73504 that divides 73504 without a remainder.

1, 2, 4, 8, 16, 32, 2297, 4594, 9188, 18376, 36752

Step-4: Factors of 73520

List of positive integer factors of 73520 that divides 73504 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 919, 1838, 3676, 4595, 7352, 9190, 14704, 18380, 36760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73504 and 73520. The biggest common factor number is the GCF number.
So the greatest common factor 73504 and 73520 is 16.

Also check out the Least Common Multiple of 73504 and 73520