What is the Greatest Common Factor of 36015 and 36022?

Greatest common factor (GCF) of 36015 and 36022 is 7.

GCF(36015,36022) = 7

We will now calculate the prime factors of 36015 and 36022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36015 and 36022.

How to find the GCF of 36015 and 36022?

We will first find the prime factorization of 36015 and 36022. After we will calculate the factors of 36015 and 36022 and find the biggest common factor number .

Step-1: Prime Factorization of 36015

Prime factors of 36015 are 3, 5, 7. Prime factorization of 36015 in exponential form is:

36015 = 3¹ × 5¹ × 7⁴

Step-2: 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-3: Factors of 36015

List of positive integer factors of 36015 that divides 36015 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 2401, 5145, 7203, 12005

Step-4: Factors of 36022

List of positive integer factors of 36022 that divides 36015 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36015 and 36022. The biggest common factor number is the GCF number.
So the greatest common factor 36015 and 36022 is 7.

Also check out the Least Common Multiple of 36015 and 36022