What is the Greatest Common Factor of 83680 and 83694?

Greatest common factor (GCF) of 83680 and 83694 is 2.

GCF(83680,83694) = 2

We will now calculate the prime factors of 83680 and 83694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83680 and 83694.

How to find the GCF of 83680 and 83694?

We will first find the prime factorization of 83680 and 83694. After we will calculate the factors of 83680 and 83694 and find the biggest common factor number .

Step-1: Prime Factorization of 83680

Prime factors of 83680 are 2, 5, 523. Prime factorization of 83680 in exponential form is:

83680 = 2⁵ × 5¹ × 523¹

Step-2: 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-3: Factors of 83680

List of positive integer factors of 83680 that divides 83680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 523, 1046, 2092, 2615, 4184, 5230, 8368, 10460, 16736, 20920, 41840

Step-4: Factors of 83694

List of positive integer factors of 83694 that divides 83680 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83680 and 83694. The biggest common factor number is the GCF number.
So the greatest common factor 83680 and 83694 is 2.

Also check out the Least Common Multiple of 83680 and 83694