What is the Greatest Common Factor of 36022 and 36032?

Greatest common factor (GCF) of 36022 and 36032 is 2.

GCF(36022,36032) = 2

We will now calculate the prime factors of 36022 and 36032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36022 and 36032.

How to find the GCF of 36022 and 36032?

We will first find the prime factorization of 36022 and 36032. After we will calculate the factors of 36022 and 36032 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 36032

Prime factors of 36032 are 2, 563. Prime factorization of 36032 in exponential form is:

36032 = 2⁶ × 563¹

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 36032

List of positive integer factors of 36032 that divides 36022 without a remainder.

1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36022 and 36032. The biggest common factor number is the GCF number.
So the greatest common factor 36022 and 36032 is 2.

Also check out the Least Common Multiple of 36022 and 36032