What is the Greatest Common Factor of 69454 and 69468?

Greatest common factor (GCF) of 69454 and 69468 is 14.

GCF(69454,69468) = 14

We will now calculate the prime factors of 69454 and 69468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69454 and 69468.

How to find the GCF of 69454 and 69468?

We will first find the prime factorization of 69454 and 69468. After we will calculate the factors of 69454 and 69468 and find the biggest common factor number .

Step-1: Prime Factorization of 69454

Prime factors of 69454 are 2, 7, 11, 41. Prime factorization of 69454 in exponential form is:

69454 = 2¹ × 7¹ × 11² × 41¹

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 69454

List of positive integer factors of 69454 that divides 69454 without a remainder.

1, 2, 7, 11, 14, 22, 41, 77, 82, 121, 154, 242, 287, 451, 574, 847, 902, 1694, 3157, 4961, 6314, 9922, 34727

Step-4: Factors of 69468

List of positive integer factors of 69468 that divides 69454 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 69454 and 69468. The biggest common factor number is the GCF number.
So the greatest common factor 69454 and 69468 is 14.

Also check out the Least Common Multiple of 69454 and 69468