What is the Greatest Common Factor of 73532 and 73538?

Greatest common factor (GCF) of 73532 and 73538 is 2.

GCF(73532,73538) = 2

We will now calculate the prime factors of 73532 and 73538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73532 and 73538.

How to find the GCF of 73532 and 73538?

We will first find the prime factorization of 73532 and 73538. After we will calculate the factors of 73532 and 73538 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73538

Prime factors of 73538 are 2, 83, 443. Prime factorization of 73538 in exponential form is:

73538 = 2¹ × 83¹ × 443¹

Step-3: Factors of 73532

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

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

Step-4: Factors of 73538

List of positive integer factors of 73538 that divides 73532 without a remainder.

1, 2, 83, 166, 443, 886, 36769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73532 and 73538. The biggest common factor number is the GCF number.
So the greatest common factor 73532 and 73538 is 2.

Also check out the Least Common Multiple of 73532 and 73538