What is the Greatest Common Factor of 82257 and 82263?

Greatest common factor (GCF) of 82257 and 82263 is 3.

GCF(82257,82263) = 3

We will now calculate the prime factors of 82257 and 82263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82257 and 82263.

How to find the GCF of 82257 and 82263?

We will first find the prime factorization of 82257 and 82263. After we will calculate the factors of 82257 and 82263 and find the biggest common factor number .

Step-1: Prime Factorization of 82257

Prime factors of 82257 are 3, 7, 3917. Prime factorization of 82257 in exponential form is:

82257 = 3¹ × 7¹ × 3917¹

Step-2: Prime Factorization of 82263

Prime factors of 82263 are 3, 17, 1613. Prime factorization of 82263 in exponential form is:

82263 = 3¹ × 17¹ × 1613¹

Step-3: Factors of 82257

List of positive integer factors of 82257 that divides 82257 without a remainder.

1, 3, 7, 21, 3917, 11751, 27419

Step-4: Factors of 82263

List of positive integer factors of 82263 that divides 82257 without a remainder.

1, 3, 17, 51, 1613, 4839, 27421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82257 and 82263. The biggest common factor number is the GCF number.
So the greatest common factor 82257 and 82263 is 3.

Also check out the Least Common Multiple of 82257 and 82263