What is the Greatest Common Factor of 30022 and 30039?

Greatest common factor (GCF) of 30022 and 30039 is 17.

GCF(30022,30039) = 17

We will now calculate the prime factors of 30022 and 30039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30022 and 30039.

How to find the GCF of 30022 and 30039?

We will first find the prime factorization of 30022 and 30039. After we will calculate the factors of 30022 and 30039 and find the biggest common factor number .

Step-1: Prime Factorization of 30022

Prime factors of 30022 are 2, 17, 883. Prime factorization of 30022 in exponential form is:

30022 = 2¹ × 17¹ × 883¹

Step-2: Prime Factorization of 30039

Prime factors of 30039 are 3, 17, 19, 31. Prime factorization of 30039 in exponential form is:

30039 = 3¹ × 17¹ × 19¹ × 31¹

Step-3: Factors of 30022

List of positive integer factors of 30022 that divides 30022 without a remainder.

1, 2, 17, 34, 883, 1766, 15011

Step-4: Factors of 30039

List of positive integer factors of 30039 that divides 30022 without a remainder.

1, 3, 17, 19, 31, 51, 57, 93, 323, 527, 589, 969, 1581, 1767, 10013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30022 and 30039. The biggest common factor number is the GCF number.
So the greatest common factor 30022 and 30039 is 17.

Also check out the Least Common Multiple of 30022 and 30039