What is the Greatest Common Factor of 69553 and 69564?

Greatest common factor (GCF) of 69553 and 69564 is 11.

GCF(69553,69564) = 11

We will now calculate the prime factors of 69553 and 69564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69553 and 69564.

How to find the GCF of 69553 and 69564?

We will first find the prime factorization of 69553 and 69564. After we will calculate the factors of 69553 and 69564 and find the biggest common factor number .

Step-1: Prime Factorization of 69553

Prime factors of 69553 are 11, 6323. Prime factorization of 69553 in exponential form is:

69553 = 11¹ × 6323¹

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 69553

List of positive integer factors of 69553 that divides 69553 without a remainder.

1, 11, 6323

Step-4: Factors of 69564

List of positive integer factors of 69564 that divides 69553 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 69553 and 69564. The biggest common factor number is the GCF number.
So the greatest common factor 69553 and 69564 is 11.

Also check out the Least Common Multiple of 69553 and 69564