What is the Greatest Common Factor of 69336 and 69354?

Greatest common factor (GCF) of 69336 and 69354 is 18.

GCF(69336,69354) = 18

We will now calculate the prime factors of 69336 and 69354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69336 and 69354.

How to find the GCF of 69336 and 69354?

We will first find the prime factorization of 69336 and 69354. After we will calculate the factors of 69336 and 69354 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69354

Prime factors of 69354 are 2, 3, 3853. Prime factorization of 69354 in exponential form is:

69354 = 2¹ × 3² × 3853¹

Step-3: Factors of 69336

List of positive integer factors of 69336 that divides 69336 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

Step-4: Factors of 69354

List of positive integer factors of 69354 that divides 69336 without a remainder.

1, 2, 3, 6, 9, 18, 3853, 7706, 11559, 23118, 34677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69336 and 69354. The biggest common factor number is the GCF number.
So the greatest common factor 69336 and 69354 is 18.

Also check out the Least Common Multiple of 69336 and 69354