What is the Greatest Common Factor of 43022 and 43029?

Greatest common factor (GCF) of 43022 and 43029 is 7.

GCF(43022,43029) = 7

We will now calculate the prime factors of 43022 and 43029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43022 and 43029.

How to find the GCF of 43022 and 43029?

We will first find the prime factorization of 43022 and 43029. After we will calculate the factors of 43022 and 43029 and find the biggest common factor number .

Step-1: Prime Factorization of 43022

Prime factors of 43022 are 2, 7, 439. Prime factorization of 43022 in exponential form is:

43022 = 2¹ × 7² × 439¹

Step-2: Prime Factorization of 43029

Prime factors of 43029 are 3, 7, 683. Prime factorization of 43029 in exponential form is:

43029 = 3² × 7¹ × 683¹

Step-3: Factors of 43022

List of positive integer factors of 43022 that divides 43022 without a remainder.

1, 2, 7, 14, 49, 98, 439, 878, 3073, 6146, 21511

Step-4: Factors of 43029

List of positive integer factors of 43029 that divides 43022 without a remainder.

1, 3, 7, 9, 21, 63, 683, 2049, 4781, 6147, 14343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43022 and 43029. The biggest common factor number is the GCF number.
So the greatest common factor 43022 and 43029 is 7.

Also check out the Least Common Multiple of 43022 and 43029