What is the Greatest Common Factor of 74432 and 74450?

Greatest common factor (GCF) of 74432 and 74450 is 2.

GCF(74432,74450) = 2

We will now calculate the prime factors of 74432 and 74450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74432 and 74450.

How to find the GCF of 74432 and 74450?

We will first find the prime factorization of 74432 and 74450. After we will calculate the factors of 74432 and 74450 and find the biggest common factor number .

Step-1: Prime Factorization of 74432

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

74432 = 2⁶ × 1163¹

Step-2: Prime Factorization of 74450

Prime factors of 74450 are 2, 5, 1489. Prime factorization of 74450 in exponential form is:

74450 = 2¹ × 5² × 1489¹

Step-3: Factors of 74432

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

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

Step-4: Factors of 74450

List of positive integer factors of 74450 that divides 74432 without a remainder.

1, 2, 5, 10, 25, 50, 1489, 2978, 7445, 14890, 37225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74432 and 74450. The biggest common factor number is the GCF number.
So the greatest common factor 74432 and 74450 is 2.

Also check out the Least Common Multiple of 74432 and 74450