What is the Greatest Common Factor of 74288 and 74292?

Greatest common factor (GCF) of 74288 and 74292 is 4.

GCF(74288,74292) = 4

We will now calculate the prime factors of 74288 and 74292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74288 and 74292.

How to find the GCF of 74288 and 74292?

We will first find the prime factorization of 74288 and 74292. After we will calculate the factors of 74288 and 74292 and find the biggest common factor number .

Step-1: Prime Factorization of 74288

Prime factors of 74288 are 2, 4643. Prime factorization of 74288 in exponential form is:

74288 = 2⁴ × 4643¹

Step-2: Prime Factorization of 74292

Prime factors of 74292 are 2, 3, 41, 151. Prime factorization of 74292 in exponential form is:

74292 = 2² × 3¹ × 41¹ × 151¹

Step-3: Factors of 74288

List of positive integer factors of 74288 that divides 74288 without a remainder.

1, 2, 4, 8, 16, 4643, 9286, 18572, 37144

Step-4: Factors of 74292

List of positive integer factors of 74292 that divides 74288 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 151, 164, 246, 302, 453, 492, 604, 906, 1812, 6191, 12382, 18573, 24764, 37146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74288 and 74292. The biggest common factor number is the GCF number.
So the greatest common factor 74288 and 74292 is 4.

Also check out the Least Common Multiple of 74288 and 74292