What is the Greatest Common Factor of 73516 and 73532?

Greatest common factor (GCF) of 73516 and 73532 is 4.

GCF(73516,73532) = 4

We will now calculate the prime factors of 73516 and 73532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73516 and 73532.

How to find the GCF of 73516 and 73532?

We will first find the prime factorization of 73516 and 73532. After we will calculate the factors of 73516 and 73532 and find the biggest common factor number .

Step-1: Prime Factorization of 73516

Prime factors of 73516 are 2, 18379. Prime factorization of 73516 in exponential form is:

73516 = 2² × 18379¹

Step-2: Prime Factorization of 73532

Prime factors of 73532 are 2, 31, 593. Prime factorization of 73532 in exponential form is:

73532 = 2² × 31¹ × 593¹

Step-3: Factors of 73516

List of positive integer factors of 73516 that divides 73516 without a remainder.

1, 2, 4, 18379, 36758

Step-4: Factors of 73532

List of positive integer factors of 73532 that divides 73516 without a remainder.

1, 2, 4, 31, 62, 124, 593, 1186, 2372, 18383, 36766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73516 and 73532. The biggest common factor number is the GCF number.
So the greatest common factor 73516 and 73532 is 4.

Also check out the Least Common Multiple of 73516 and 73532