What is the Greatest Common Factor of 36032 and 36045?

Greatest common factor (GCF) of 36032 and 36045 is 1.

GCF(36032,36045) = 1

We will now calculate the prime factors of 36032 and 36045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36032 and 36045.

How to find the GCF of 36032 and 36045?

We will first find the prime factorization of 36032 and 36045. After we will calculate the factors of 36032 and 36045 and find the biggest common factor number .

Step-1: Prime Factorization of 36032

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

36032 = 2⁶ × 563¹

Step-2: Prime Factorization of 36045

Prime factors of 36045 are 3, 5, 89. Prime factorization of 36045 in exponential form is:

36045 = 3⁴ × 5¹ × 89¹

Step-3: Factors of 36032

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

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

Step-4: Factors of 36045

List of positive integer factors of 36045 that divides 36032 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 89, 135, 267, 405, 445, 801, 1335, 2403, 4005, 7209, 12015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36032 and 36045. The biggest common factor number is the GCF number.
So the greatest common factor 36032 and 36045 is 1.

Also check out the Least Common Multiple of 36032 and 36045