What is the Greatest Common Factor of 69219 and 69228?

Greatest common factor (GCF) of 69219 and 69228 is 9.

GCF(69219,69228) = 9

We will now calculate the prime factors of 69219 and 69228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69219 and 69228.

How to find the GCF of 69219 and 69228?

We will first find the prime factorization of 69219 and 69228. After we will calculate the factors of 69219 and 69228 and find the biggest common factor number .

Step-1: Prime Factorization of 69219

Prime factors of 69219 are 3, 7691. Prime factorization of 69219 in exponential form is:

69219 = 3² × 7691¹

Step-2: Prime Factorization of 69228

Prime factors of 69228 are 2, 3, 641. Prime factorization of 69228 in exponential form is:

69228 = 2² × 3³ × 641¹

Step-3: Factors of 69219

List of positive integer factors of 69219 that divides 69219 without a remainder.

1, 3, 9, 7691, 23073

Step-4: Factors of 69228

List of positive integer factors of 69228 that divides 69219 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 641, 1282, 1923, 2564, 3846, 5769, 7692, 11538, 17307, 23076, 34614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69219 and 69228. The biggest common factor number is the GCF number.
So the greatest common factor 69219 and 69228 is 9.

Also check out the Least Common Multiple of 69219 and 69228