What is the Greatest Common Factor of 69663 and 69678?

Greatest common factor (GCF) of 69663 and 69678 is 3.

GCF(69663,69678) = 3

We will now calculate the prime factors of 69663 and 69678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69663 and 69678.

How to find the GCF of 69663 and 69678?

We will first find the prime factorization of 69663 and 69678. After we will calculate the factors of 69663 and 69678 and find the biggest common factor number .

Step-1: Prime Factorization of 69663

Prime factors of 69663 are 3, 11, 2111. Prime factorization of 69663 in exponential form is:

69663 = 3¹ × 11¹ × 2111¹

Step-2: Prime Factorization of 69678

Prime factors of 69678 are 2, 3, 7, 79. Prime factorization of 69678 in exponential form is:

69678 = 2¹ × 3² × 7² × 79¹

Step-3: Factors of 69663

List of positive integer factors of 69663 that divides 69663 without a remainder.

1, 3, 11, 33, 2111, 6333, 23221

Step-4: Factors of 69678

List of positive integer factors of 69678 that divides 69663 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 79, 98, 126, 147, 158, 237, 294, 441, 474, 553, 711, 882, 1106, 1422, 1659, 3318, 3871, 4977, 7742, 9954, 11613, 23226, 34839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69663 and 69678. The biggest common factor number is the GCF number.
So the greatest common factor 69663 and 69678 is 3.

Also check out the Least Common Multiple of 69663 and 69678