What is the Greatest Common Factor of 36022 and 36029?

Greatest common factor (GCF) of 36022 and 36029 is 7.

GCF(36022,36029) = 7

We will now calculate the prime factors of 36022 and 36029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36022 and 36029.

How to find the GCF of 36022 and 36029?

We will first find the prime factorization of 36022 and 36029. After we will calculate the factors of 36022 and 36029 and find the biggest common factor number .

Step-1: Prime Factorization of 36022

Prime factors of 36022 are 2, 7, 31, 83. Prime factorization of 36022 in exponential form is:

36022 = 2¹ × 7¹ × 31¹ × 83¹

Step-2: Prime Factorization of 36029

Prime factors of 36029 are 7, 5147. Prime factorization of 36029 in exponential form is:

36029 = 7¹ × 5147¹

Step-3: Factors of 36022

List of positive integer factors of 36022 that divides 36022 without a remainder.

1, 2, 7, 14, 31, 62, 83, 166, 217, 434, 581, 1162, 2573, 5146, 18011

Step-4: Factors of 36029

List of positive integer factors of 36029 that divides 36022 without a remainder.

1, 7, 5147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36022 and 36029. The biggest common factor number is the GCF number.
So the greatest common factor 36022 and 36029 is 7.

Also check out the Least Common Multiple of 36022 and 36029