What is the Greatest Common Factor of 44265 and 44274?

Greatest common factor (GCF) of 44265 and 44274 is 3.

GCF(44265,44274) = 3

We will now calculate the prime factors of 44265 and 44274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44265 and 44274.

How to find the GCF of 44265 and 44274?

We will first find the prime factorization of 44265 and 44274. After we will calculate the factors of 44265 and 44274 and find the biggest common factor number .

Step-1: Prime Factorization of 44265

Prime factors of 44265 are 3, 5, 13, 227. Prime factorization of 44265 in exponential form is:

44265 = 3¹ × 5¹ × 13¹ × 227¹

Step-2: Prime Factorization of 44274

Prime factors of 44274 are 2, 3, 47, 157. Prime factorization of 44274 in exponential form is:

44274 = 2¹ × 3¹ × 47¹ × 157¹

Step-3: Factors of 44265

List of positive integer factors of 44265 that divides 44265 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 227, 681, 1135, 2951, 3405, 8853, 14755

Step-4: Factors of 44274

List of positive integer factors of 44274 that divides 44265 without a remainder.

1, 2, 3, 6, 47, 94, 141, 157, 282, 314, 471, 942, 7379, 14758, 22137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44265 and 44274. The biggest common factor number is the GCF number.
So the greatest common factor 44265 and 44274 is 3.

Also check out the Least Common Multiple of 44265 and 44274