What is the Greatest Common Factor of 69468 and 69482?

Greatest common factor (GCF) of 69468 and 69482 is 14.

GCF(69468,69482) = 14

We will now calculate the prime factors of 69468 and 69482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69468 and 69482.

How to find the GCF of 69468 and 69482?

We will first find the prime factorization of 69468 and 69482. After we will calculate the factors of 69468 and 69482 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69482

Prime factors of 69482 are 2, 7, 709. Prime factorization of 69482 in exponential form is:

69482 = 2¹ × 7² × 709¹

Step-3: Factors of 69468

List of positive integer factors of 69468 that divides 69468 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

Step-4: Factors of 69482

List of positive integer factors of 69482 that divides 69468 without a remainder.

1, 2, 7, 14, 49, 98, 709, 1418, 4963, 9926, 34741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69468 and 69482. The biggest common factor number is the GCF number.
So the greatest common factor 69468 and 69482 is 14.

Also check out the Least Common Multiple of 69468 and 69482