What is the Greatest Common Factor of 74432 and 74442?

Greatest common factor (GCF) of 74432 and 74442 is 2.

GCF(74432,74442) = 2

We will now calculate the prime factors of 74432 and 74442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74432 and 74442.

How to find the GCF of 74432 and 74442?

We will first find the prime factorization of 74432 and 74442. After we will calculate the factors of 74432 and 74442 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 74442

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

74442 = 2¹ × 3¹ × 19¹ × 653¹

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 74442

List of positive integer factors of 74442 that divides 74432 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74432 and 74442. The biggest common factor number is the GCF number.
So the greatest common factor 74432 and 74442 is 2.

Also check out the Least Common Multiple of 74432 and 74442