What is the Greatest Common Factor of 32045 and 32056?

Greatest common factor (GCF) of 32045 and 32056 is 1.

GCF(32045,32056) = 1

We will now calculate the prime factors of 32045 and 32056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32045 and 32056.

How to find the GCF of 32045 and 32056?

We will first find the prime factorization of 32045 and 32056. After we will calculate the factors of 32045 and 32056 and find the biggest common factor number .

Step-1: Prime Factorization of 32045

Prime factors of 32045 are 5, 13, 17, 29. Prime factorization of 32045 in exponential form is:

32045 = 5¹ × 13¹ × 17¹ × 29¹

Step-2: Prime Factorization of 32056

Prime factors of 32056 are 2, 4007. Prime factorization of 32056 in exponential form is:

32056 = 2³ × 4007¹

Step-3: Factors of 32045

List of positive integer factors of 32045 that divides 32045 without a remainder.

1, 5, 13, 17, 29, 65, 85, 145, 221, 377, 493, 1105, 1885, 2465, 6409

Step-4: Factors of 32056

List of positive integer factors of 32056 that divides 32045 without a remainder.

1, 2, 4, 8, 4007, 8014, 16028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32045 and 32056. The biggest common factor number is the GCF number.
So the greatest common factor 32045 and 32056 is 1.

Also check out the Least Common Multiple of 32045 and 32056