What is the Greatest Common Factor of 47005 and 47022?

Greatest common factor (GCF) of 47005 and 47022 is 17.

GCF(47005,47022) = 17

We will now calculate the prime factors of 47005 and 47022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47005 and 47022.

How to find the GCF of 47005 and 47022?

We will first find the prime factorization of 47005 and 47022. After we will calculate the factors of 47005 and 47022 and find the biggest common factor number .

Step-1: Prime Factorization of 47005

Prime factors of 47005 are 5, 7, 17, 79. Prime factorization of 47005 in exponential form is:

47005 = 5¹ × 7¹ × 17¹ × 79¹

Step-2: 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-3: Factors of 47005

List of positive integer factors of 47005 that divides 47005 without a remainder.

1, 5, 7, 17, 35, 79, 85, 119, 395, 553, 595, 1343, 2765, 6715, 9401

Step-4: Factors of 47022

List of positive integer factors of 47022 that divides 47005 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47005 and 47022. The biggest common factor number is the GCF number.
So the greatest common factor 47005 and 47022 is 17.

Also check out the Least Common Multiple of 47005 and 47022