What is the Greatest Common Factor of 69336 and 69356?

Greatest common factor (GCF) of 69336 and 69356 is 4.

GCF(69336,69356) = 4

We will now calculate the prime factors of 69336 and 69356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69336 and 69356.

How to find the GCF of 69336 and 69356?

We will first find the prime factorization of 69336 and 69356. After we will calculate the factors of 69336 and 69356 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 69356

Prime factors of 69356 are 2, 7, 2477. Prime factorization of 69356 in exponential form is:

69356 = 2² × 7¹ × 2477¹

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 69356

List of positive integer factors of 69356 that divides 69336 without a remainder.

1, 2, 4, 7, 14, 28, 2477, 4954, 9908, 17339, 34678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69336 and 69356. The biggest common factor number is the GCF number.
So the greatest common factor 69336 and 69356 is 4.

Also check out the Least Common Multiple of 69336 and 69356