What is the Greatest Common Factor of 83709 and 83721?

Greatest common factor (GCF) of 83709 and 83721 is 3.

GCF(83709,83721) = 3

We will now calculate the prime factors of 83709 and 83721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83709 and 83721.

How to find the GCF of 83709 and 83721?

We will first find the prime factorization of 83709 and 83721. After we will calculate the factors of 83709 and 83721 and find the biggest common factor number .

Step-1: Prime Factorization of 83709

Prime factors of 83709 are 3, 71, 131. Prime factorization of 83709 in exponential form is:

83709 = 3² × 71¹ × 131¹

Step-2: Prime Factorization of 83721

Prime factors of 83721 are 3, 11, 43, 59. Prime factorization of 83721 in exponential form is:

83721 = 3¹ × 11¹ × 43¹ × 59¹

Step-3: Factors of 83709

List of positive integer factors of 83709 that divides 83709 without a remainder.

1, 3, 9, 71, 131, 213, 393, 639, 1179, 9301, 27903

Step-4: Factors of 83721

List of positive integer factors of 83721 that divides 83709 without a remainder.

1, 3, 11, 33, 43, 59, 129, 177, 473, 649, 1419, 1947, 2537, 7611, 27907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83709 and 83721. The biggest common factor number is the GCF number.
So the greatest common factor 83709 and 83721 is 3.

Also check out the Least Common Multiple of 83709 and 83721