What is the Greatest Common Factor of 74554 and 74562?

Greatest common factor (GCF) of 74554 and 74562 is 2.

GCF(74554,74562) = 2

We will now calculate the prime factors of 74554 and 74562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74554 and 74562.

How to find the GCF of 74554 and 74562?

We will first find the prime factorization of 74554 and 74562. After we will calculate the factors of 74554 and 74562 and find the biggest common factor number .

Step-1: Prime Factorization of 74554

Prime factors of 74554 are 2, 37277. Prime factorization of 74554 in exponential form is:

74554 = 2¹ × 37277¹

Step-2: 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-3: Factors of 74554

List of positive integer factors of 74554 that divides 74554 without a remainder.

1, 2, 37277

Step-4: Factors of 74562

List of positive integer factors of 74562 that divides 74554 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74554 and 74562. The biggest common factor number is the GCF number.
So the greatest common factor 74554 and 74562 is 2.

Also check out the Least Common Multiple of 74554 and 74562