What is the Greatest Common Factor of 73538 and 73546?

Greatest common factor (GCF) of 73538 and 73546 is 2.

GCF(73538,73546) = 2

We will now calculate the prime factors of 73538 and 73546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73538 and 73546.

How to find the GCF of 73538 and 73546?

We will first find the prime factorization of 73538 and 73546. After we will calculate the factors of 73538 and 73546 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 73546

Prime factors of 73546 are 2, 11, 3343. Prime factorization of 73546 in exponential form is:

73546 = 2¹ × 11¹ × 3343¹

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 73546

List of positive integer factors of 73546 that divides 73538 without a remainder.

1, 2, 11, 22, 3343, 6686, 36773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73538 and 73546. The biggest common factor number is the GCF number.
So the greatest common factor 73538 and 73546 is 2.

Also check out the Least Common Multiple of 73538 and 73546