What is the Greatest Common Factor of 74442 and 74456?

Greatest common factor (GCF) of 74442 and 74456 is 2.

GCF(74442,74456) = 2

We will now calculate the prime factors of 74442 and 74456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74442 and 74456.

How to find the GCF of 74442 and 74456?

We will first find the prime factorization of 74442 and 74456. After we will calculate the factors of 74442 and 74456 and find the biggest common factor number .

Step-1: Prime Factorization of 74442

Prime factors of 74442 are 2, 3, 19, 653. Prime factorization of 74442 in exponential form is:

74442 = 2¹ × 3¹ × 19¹ × 653¹

Step-2: Prime Factorization of 74456

Prime factors of 74456 are 2, 41, 227. Prime factorization of 74456 in exponential form is:

74456 = 2³ × 41¹ × 227¹

Step-3: Factors of 74442

List of positive integer factors of 74442 that divides 74442 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 653, 1306, 1959, 3918, 12407, 24814, 37221

Step-4: Factors of 74456

List of positive integer factors of 74456 that divides 74442 without a remainder.

1, 2, 4, 8, 41, 82, 164, 227, 328, 454, 908, 1816, 9307, 18614, 37228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74442 and 74456. The biggest common factor number is the GCF number.
So the greatest common factor 74442 and 74456 is 2.

Also check out the Least Common Multiple of 74442 and 74456