What is the Greatest Common Factor of 69453 and 69468?

Greatest common factor (GCF) of 69453 and 69468 is 3.

GCF(69453,69468) = 3

We will now calculate the prime factors of 69453 and 69468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69453 and 69468.

How to find the GCF of 69453 and 69468?

We will first find the prime factorization of 69453 and 69468. After we will calculate the factors of 69453 and 69468 and find the biggest common factor number .

Step-1: Prime Factorization of 69453

Prime factors of 69453 are 3, 7717. Prime factorization of 69453 in exponential form is:

69453 = 3² × 7717¹

Step-2: Prime Factorization of 69468

Prime factors of 69468 are 2, 3, 7, 827. Prime factorization of 69468 in exponential form is:

69468 = 2² × 3¹ × 7¹ × 827¹

Step-3: Factors of 69453

List of positive integer factors of 69453 that divides 69453 without a remainder.

1, 3, 9, 7717, 23151

Step-4: Factors of 69468

List of positive integer factors of 69468 that divides 69453 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 827, 1654, 2481, 3308, 4962, 5789, 9924, 11578, 17367, 23156, 34734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69453 and 69468. The biggest common factor number is the GCF number.
So the greatest common factor 69453 and 69468 is 3.

Also check out the Least Common Multiple of 69453 and 69468