What is the Greatest Common Factor of 73542 and 73558?

Greatest common factor (GCF) of 73542 and 73558 is 2.

GCF(73542,73558) = 2

We will now calculate the prime factors of 73542 and 73558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73542 and 73558.

How to find the GCF of 73542 and 73558?

We will first find the prime factorization of 73542 and 73558. After we will calculate the factors of 73542 and 73558 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73558

Prime factors of 73558 are 2, 36779. Prime factorization of 73558 in exponential form is:

73558 = 2¹ × 36779¹

Step-3: Factors of 73542

List of positive integer factors of 73542 that divides 73542 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

Step-4: Factors of 73558

List of positive integer factors of 73558 that divides 73542 without a remainder.

1, 2, 36779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73542 and 73558. The biggest common factor number is the GCF number.
So the greatest common factor 73542 and 73558 is 2.

Also check out the Least Common Multiple of 73542 and 73558