What is the Greatest Common Factor of 69531 and 69537?

Greatest common factor (GCF) of 69531 and 69537 is 3.

GCF(69531,69537) = 3

We will now calculate the prime factors of 69531 and 69537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69531 and 69537.

How to find the GCF of 69531 and 69537?

We will first find the prime factorization of 69531 and 69537. After we will calculate the factors of 69531 and 69537 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 69537

Prime factors of 69537 are 3, 13, 1783. Prime factorization of 69537 in exponential form is:

69537 = 3¹ × 13¹ × 1783¹

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 69537

List of positive integer factors of 69537 that divides 69531 without a remainder.

1, 3, 13, 39, 1783, 5349, 23179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69531 and 69537. The biggest common factor number is the GCF number.
So the greatest common factor 69531 and 69537 is 3.

Also check out the Least Common Multiple of 69531 and 69537