What is the Greatest Common Factor of 47022 and 47039?

Greatest common factor (GCF) of 47022 and 47039 is 17.

GCF(47022,47039) = 17

We will now calculate the prime factors of 47022 and 47039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47022 and 47039.

How to find the GCF of 47022 and 47039?

We will first find the prime factorization of 47022 and 47039. After we will calculate the factors of 47022 and 47039 and find the biggest common factor number .

Step-1: Prime Factorization of 47022

Prime factors of 47022 are 2, 3, 17, 461. Prime factorization of 47022 in exponential form is:

47022 = 2¹ × 3¹ × 17¹ × 461¹

Step-2: Prime Factorization of 47039

Prime factors of 47039 are 17, 2767. Prime factorization of 47039 in exponential form is:

47039 = 17¹ × 2767¹

Step-3: Factors of 47022

List of positive integer factors of 47022 that divides 47022 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 461, 922, 1383, 2766, 7837, 15674, 23511

Step-4: Factors of 47039

List of positive integer factors of 47039 that divides 47022 without a remainder.

1, 17, 2767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47022 and 47039. The biggest common factor number is the GCF number.
So the greatest common factor 47022 and 47039 is 17.

Also check out the Least Common Multiple of 47022 and 47039