What is the Greatest Common Factor of 82550 and 82567?

Greatest common factor (GCF) of 82550 and 82567 is 1.

GCF(82550,82567) = 1

We will now calculate the prime factors of 82550 and 82567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82550 and 82567.

How to find the GCF of 82550 and 82567?

We will first find the prime factorization of 82550 and 82567. After we will calculate the factors of 82550 and 82567 and find the biggest common factor number .

Step-1: Prime Factorization of 82550

Prime factors of 82550 are 2, 5, 13, 127. Prime factorization of 82550 in exponential form is:

82550 = 2¹ × 5² × 13¹ × 127¹

Step-2: Prime Factorization of 82567

Prime factors of 82567 are 82567. Prime factorization of 82567 in exponential form is:

82567 = 82567¹

Step-3: Factors of 82550

List of positive integer factors of 82550 that divides 82550 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 127, 130, 254, 325, 635, 650, 1270, 1651, 3175, 3302, 6350, 8255, 16510, 41275

Step-4: Factors of 82567

List of positive integer factors of 82567 that divides 82550 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82550 and 82567. The biggest common factor number is the GCF number.
So the greatest common factor 82550 and 82567 is 1.

Also check out the Least Common Multiple of 82550 and 82567