What is the Greatest Common Factor of 69326 and 69336?

Greatest common factor (GCF) of 69326 and 69336 is 2.

GCF(69326,69336) = 2

We will now calculate the prime factors of 69326 and 69336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69326 and 69336.

How to find the GCF of 69326 and 69336?

We will first find the prime factorization of 69326 and 69336. After we will calculate the factors of 69326 and 69336 and find the biggest common factor number .

Step-1: Prime Factorization of 69326

Prime factors of 69326 are 2, 17, 2039. Prime factorization of 69326 in exponential form is:

69326 = 2¹ × 17¹ × 2039¹

Step-2: Prime Factorization of 69336

Prime factors of 69336 are 2, 3, 107. Prime factorization of 69336 in exponential form is:

69336 = 2³ × 3⁴ × 107¹

Step-3: Factors of 69326

List of positive integer factors of 69326 that divides 69326 without a remainder.

1, 2, 17, 34, 2039, 4078, 34663

Step-4: Factors of 69336

List of positive integer factors of 69336 that divides 69326 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 107, 108, 162, 214, 216, 321, 324, 428, 642, 648, 856, 963, 1284, 1926, 2568, 2889, 3852, 5778, 7704, 8667, 11556, 17334, 23112, 34668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69326 and 69336. The biggest common factor number is the GCF number.
So the greatest common factor 69326 and 69336 is 2.

Also check out the Least Common Multiple of 69326 and 69336