What is the Greatest Common Factor of 36032 and 36041?

Greatest common factor (GCF) of 36032 and 36041 is 1.

GCF(36032,36041) = 1

We will now calculate the prime factors of 36032 and 36041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36032 and 36041.

How to find the GCF of 36032 and 36041?

We will first find the prime factorization of 36032 and 36041. After we will calculate the factors of 36032 and 36041 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 36041

Prime factors of 36041 are 23, 1567. Prime factorization of 36041 in exponential form is:

36041 = 23¹ × 1567¹

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 36041

List of positive integer factors of 36041 that divides 36032 without a remainder.

1, 23, 1567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36032 and 36041. The biggest common factor number is the GCF number.
So the greatest common factor 36032 and 36041 is 1.

Also check out the Least Common Multiple of 36032 and 36041