What is the Greatest Common Factor of 69531 and 69546?

Greatest common factor (GCF) of 69531 and 69546 is 3.

GCF(69531,69546) = 3

We will now calculate the prime factors of 69531 and 69546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69531 and 69546.

How to find the GCF of 69531 and 69546?

We will first find the prime factorization of 69531 and 69546. After we will calculate the factors of 69531 and 69546 and find the biggest common factor number .

Step-1: Prime Factorization of 69531

Prime factors of 69531 are 3, 7, 11, 43. Prime factorization of 69531 in exponential form is:

69531 = 3¹ × 7² × 11¹ × 43¹

Step-2: Prime Factorization of 69546

Prime factors of 69546 are 2, 3, 67, 173. Prime factorization of 69546 in exponential form is:

69546 = 2¹ × 3¹ × 67¹ × 173¹

Step-3: Factors of 69531

List of positive integer factors of 69531 that divides 69531 without a remainder.

1, 3, 7, 11, 21, 33, 43, 49, 77, 129, 147, 231, 301, 473, 539, 903, 1419, 1617, 2107, 3311, 6321, 9933, 23177

Step-4: Factors of 69546

List of positive integer factors of 69546 that divides 69531 without a remainder.

1, 2, 3, 6, 67, 134, 173, 201, 346, 402, 519, 1038, 11591, 23182, 34773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69531 and 69546. The biggest common factor number is the GCF number.
So the greatest common factor 69531 and 69546 is 3.

Also check out the Least Common Multiple of 69531 and 69546