What is the Greatest Common Factor of 32264 and 32273?

Greatest common factor (GCF) of 32264 and 32273 is 1.

GCF(32264,32273) = 1

We will now calculate the prime factors of 32264 and 32273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32264 and 32273.

How to find the GCF of 32264 and 32273?

We will first find the prime factorization of 32264 and 32273. After we will calculate the factors of 32264 and 32273 and find the biggest common factor number .

Step-1: Prime Factorization of 32264

Prime factors of 32264 are 2, 37, 109. Prime factorization of 32264 in exponential form is:

32264 = 2³ × 37¹ × 109¹

Step-2: Prime Factorization of 32273

Prime factors of 32273 are 59, 547. Prime factorization of 32273 in exponential form is:

32273 = 59¹ × 547¹

Step-3: Factors of 32264

List of positive integer factors of 32264 that divides 32264 without a remainder.

1, 2, 4, 8, 37, 74, 109, 148, 218, 296, 436, 872, 4033, 8066, 16132

Step-4: Factors of 32273

List of positive integer factors of 32273 that divides 32264 without a remainder.

1, 59, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32264 and 32273. The biggest common factor number is the GCF number.
So the greatest common factor 32264 and 32273 is 1.

Also check out the Least Common Multiple of 32264 and 32273