What is the Greatest Common Factor of 69558 and 69564?

Greatest common factor (GCF) of 69558 and 69564 is 6.

GCF(69558,69564) = 6

We will now calculate the prime factors of 69558 and 69564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69558 and 69564.

How to find the GCF of 69558 and 69564?

We will first find the prime factorization of 69558 and 69564. After we will calculate the factors of 69558 and 69564 and find the biggest common factor number .

Step-1: Prime Factorization of 69558

Prime factors of 69558 are 2, 3, 11593. Prime factorization of 69558 in exponential form is:

69558 = 2¹ × 3¹ × 11593¹

Step-2: Prime Factorization of 69564

Prime factors of 69564 are 2, 3, 11, 17, 31. Prime factorization of 69564 in exponential form is:

69564 = 2² × 3¹ × 11¹ × 17¹ × 31¹

Step-3: Factors of 69558

List of positive integer factors of 69558 that divides 69558 without a remainder.

1, 2, 3, 6, 11593, 23186, 34779

Step-4: Factors of 69564

List of positive integer factors of 69564 that divides 69558 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 31, 33, 34, 44, 51, 62, 66, 68, 93, 102, 124, 132, 186, 187, 204, 341, 372, 374, 527, 561, 682, 748, 1023, 1054, 1122, 1364, 1581, 2046, 2108, 2244, 3162, 4092, 5797, 6324, 11594, 17391, 23188, 34782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69558 and 69564. The biggest common factor number is the GCF number.
So the greatest common factor 69558 and 69564 is 6.

Also check out the Least Common Multiple of 69558 and 69564