What is the Greatest Common Factor of 83259 and 83270?

Greatest common factor (GCF) of 83259 and 83270 is 11.

GCF(83259,83270) = 11

We will now calculate the prime factors of 83259 and 83270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83259 and 83270.

How to find the GCF of 83259 and 83270?

We will first find the prime factorization of 83259 and 83270. After we will calculate the factors of 83259 and 83270 and find the biggest common factor number .

Step-1: Prime Factorization of 83259

Prime factors of 83259 are 3, 11, 29. Prime factorization of 83259 in exponential form is:

83259 = 3² × 11¹ × 29²

Step-2: Prime Factorization of 83270

Prime factors of 83270 are 2, 5, 11, 757. Prime factorization of 83270 in exponential form is:

83270 = 2¹ × 5¹ × 11¹ × 757¹

Step-3: Factors of 83259

List of positive integer factors of 83259 that divides 83259 without a remainder.

1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 841, 957, 2523, 2871, 7569, 9251, 27753

Step-4: Factors of 83270

List of positive integer factors of 83270 that divides 83259 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 757, 1514, 3785, 7570, 8327, 16654, 41635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83259 and 83270. The biggest common factor number is the GCF number.
So the greatest common factor 83259 and 83270 is 11.

Also check out the Least Common Multiple of 83259 and 83270