What is the Greatest Common Factor of 69564 and 69581?

Greatest common factor (GCF) of 69564 and 69581 is 17.

GCF(69564,69581) = 17

We will now calculate the prime factors of 69564 and 69581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69564 and 69581.

How to find the GCF of 69564 and 69581?

We will first find the prime factorization of 69564 and 69581. After we will calculate the factors of 69564 and 69581 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69581

Prime factors of 69581 are 17, 4093. Prime factorization of 69581 in exponential form is:

69581 = 17¹ × 4093¹

Step-3: Factors of 69564

List of positive integer factors of 69564 that divides 69564 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

Step-4: Factors of 69581

List of positive integer factors of 69581 that divides 69564 without a remainder.

1, 17, 4093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69564 and 69581. The biggest common factor number is the GCF number.
So the greatest common factor 69564 and 69581 is 17.

Also check out the Least Common Multiple of 69564 and 69581