What is the Greatest Common Factor of 44285 and 44302?

Greatest common factor (GCF) of 44285 and 44302 is 17.

GCF(44285,44302) = 17

We will now calculate the prime factors of 44285 and 44302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44285 and 44302.

How to find the GCF of 44285 and 44302?

We will first find the prime factorization of 44285 and 44302. After we will calculate the factors of 44285 and 44302 and find the biggest common factor number .

Step-1: Prime Factorization of 44285

Prime factors of 44285 are 5, 17, 521. Prime factorization of 44285 in exponential form is:

44285 = 5¹ × 17¹ × 521¹

Step-2: Prime Factorization of 44302

Prime factors of 44302 are 2, 17, 1303. Prime factorization of 44302 in exponential form is:

44302 = 2¹ × 17¹ × 1303¹

Step-3: Factors of 44285

List of positive integer factors of 44285 that divides 44285 without a remainder.

1, 5, 17, 85, 521, 2605, 8857

Step-4: Factors of 44302

List of positive integer factors of 44302 that divides 44285 without a remainder.

1, 2, 17, 34, 1303, 2606, 22151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44285 and 44302. The biggest common factor number is the GCF number.
So the greatest common factor 44285 and 44302 is 17.

Also check out the Least Common Multiple of 44285 and 44302