What is the Greatest Common Factor of 69324 and 69336?

Greatest common factor (GCF) of 69324 and 69336 is 12.

GCF(69324,69336) = 12

We will now calculate the prime factors of 69324 and 69336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69324 and 69336.

How to find the GCF of 69324 and 69336?

We will first find the prime factorization of 69324 and 69336. After we will calculate the factors of 69324 and 69336 and find the biggest common factor number .

Step-1: Prime Factorization of 69324

Prime factors of 69324 are 2, 3, 53, 109. Prime factorization of 69324 in exponential form is:

69324 = 2² × 3¹ × 53¹ × 109¹

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 69324

List of positive integer factors of 69324 that divides 69324 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 109, 159, 212, 218, 318, 327, 436, 636, 654, 1308, 5777, 11554, 17331, 23108, 34662

Step-4: Factors of 69336

List of positive integer factors of 69336 that divides 69324 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 69324 and 69336. The biggest common factor number is the GCF number.
So the greatest common factor 69324 and 69336 is 12.

Also check out the Least Common Multiple of 69324 and 69336