What is the Greatest Common Factor of 74426 and 74432?

Greatest common factor (GCF) of 74426 and 74432 is 2.

GCF(74426,74432) = 2

We will now calculate the prime factors of 74426 and 74432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74426 and 74432.

How to find the GCF of 74426 and 74432?

We will first find the prime factorization of 74426 and 74432. After we will calculate the factors of 74426 and 74432 and find the biggest common factor number .

Step-1: Prime Factorization of 74426

Prime factors of 74426 are 2, 11, 17, 199. Prime factorization of 74426 in exponential form is:

74426 = 2¹ × 11¹ × 17¹ × 199¹

Step-2: Prime Factorization of 74432

Prime factors of 74432 are 2, 1163. Prime factorization of 74432 in exponential form is:

74432 = 2⁶ × 1163¹

Step-3: Factors of 74426

List of positive integer factors of 74426 that divides 74426 without a remainder.

1, 2, 11, 17, 22, 34, 187, 199, 374, 398, 2189, 3383, 4378, 6766, 37213

Step-4: Factors of 74432

List of positive integer factors of 74432 that divides 74426 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1163, 2326, 4652, 9304, 18608, 37216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74426 and 74432. The biggest common factor number is the GCF number.
So the greatest common factor 74426 and 74432 is 2.

Also check out the Least Common Multiple of 74426 and 74432