What is the Greatest Common Factor of 73538 and 73542?

Greatest common factor (GCF) of 73538 and 73542 is 2.

GCF(73538,73542) = 2

We will now calculate the prime factors of 73538 and 73542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73538 and 73542.

How to find the GCF of 73538 and 73542?

We will first find the prime factorization of 73538 and 73542. After we will calculate the factors of 73538 and 73542 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 73542

Prime factors of 73542 are 2, 3, 7, 17, 103. Prime factorization of 73542 in exponential form is:

73542 = 2¹ × 3¹ × 7¹ × 17¹ × 103¹

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 73542

List of positive integer factors of 73542 that divides 73538 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 103, 119, 206, 238, 309, 357, 618, 714, 721, 1442, 1751, 2163, 3502, 4326, 5253, 10506, 12257, 24514, 36771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73538 and 73542. The biggest common factor number is the GCF number.
So the greatest common factor 73538 and 73542 is 2.

Also check out the Least Common Multiple of 73538 and 73542