What is the Greatest Common Factor of 73538 and 73550?

Greatest common factor (GCF) of 73538 and 73550 is 2.

GCF(73538,73550) = 2

We will now calculate the prime factors of 73538 and 73550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73538 and 73550.

How to find the GCF of 73538 and 73550?

We will first find the prime factorization of 73538 and 73550. After we will calculate the factors of 73538 and 73550 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73550

Prime factors of 73550 are 2, 5, 1471. Prime factorization of 73550 in exponential form is:

73550 = 2¹ × 5² × 1471¹

Step-3: Factors of 73538

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

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

Step-4: Factors of 73550

List of positive integer factors of 73550 that divides 73538 without a remainder.

1, 2, 5, 10, 25, 50, 1471, 2942, 7355, 14710, 36775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73538 and 73550. The biggest common factor number is the GCF number.
So the greatest common factor 73538 and 73550 is 2.

Also check out the Least Common Multiple of 73538 and 73550