What is the Greatest Common Factor of 83694 and 83709?

Greatest common factor (GCF) of 83694 and 83709 is 3.

GCF(83694,83709) = 3

We will now calculate the prime factors of 83694 and 83709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83694 and 83709.

How to find the GCF of 83694 and 83709?

We will first find the prime factorization of 83694 and 83709. After we will calculate the factors of 83694 and 83709 and find the biggest common factor number .

Step-1: Prime Factorization of 83694

Prime factors of 83694 are 2, 3, 13, 29, 37. Prime factorization of 83694 in exponential form is:

83694 = 2¹ × 3¹ × 13¹ × 29¹ × 37¹

Step-2: 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-3: Factors of 83694

List of positive integer factors of 83694 that divides 83694 without a remainder.

1, 2, 3, 6, 13, 26, 29, 37, 39, 58, 74, 78, 87, 111, 174, 222, 377, 481, 754, 962, 1073, 1131, 1443, 2146, 2262, 2886, 3219, 6438, 13949, 27898, 41847

Step-4: Factors of 83709

List of positive integer factors of 83709 that divides 83694 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83694 and 83709. The biggest common factor number is the GCF number.
So the greatest common factor 83694 and 83709 is 3.

Also check out the Least Common Multiple of 83694 and 83709