What is the Greatest Common Factor of 74562 and 74582?

Greatest common factor (GCF) of 74562 and 74582 is 2.

GCF(74562,74582) = 2

We will now calculate the prime factors of 74562 and 74582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74562 and 74582.

How to find the GCF of 74562 and 74582?

We will first find the prime factorization of 74562 and 74582. After we will calculate the factors of 74562 and 74582 and find the biggest common factor number .

Step-1: Prime Factorization of 74562

Prime factors of 74562 are 2, 3, 17, 43. Prime factorization of 74562 in exponential form is:

74562 = 2¹ × 3¹ × 17² × 43¹

Step-2: Prime Factorization of 74582

Prime factors of 74582 are 2, 89, 419. Prime factorization of 74582 in exponential form is:

74582 = 2¹ × 89¹ × 419¹

Step-3: Factors of 74562

List of positive integer factors of 74562 that divides 74562 without a remainder.

1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 289, 578, 731, 867, 1462, 1734, 2193, 4386, 12427, 24854, 37281

Step-4: Factors of 74582

List of positive integer factors of 74582 that divides 74562 without a remainder.

1, 2, 89, 178, 419, 838, 37291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74562 and 74582. The biggest common factor number is the GCF number.
So the greatest common factor 74562 and 74582 is 2.

Also check out the Least Common Multiple of 74562 and 74582