What is the Greatest Common Factor of 69547 and 69564?

Greatest common factor (GCF) of 69547 and 69564 is 17.

GCF(69547,69564) = 17

We will now calculate the prime factors of 69547 and 69564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69547 and 69564.

How to find the GCF of 69547 and 69564?

We will first find the prime factorization of 69547 and 69564. After we will calculate the factors of 69547 and 69564 and find the biggest common factor number .

Step-1: Prime Factorization of 69547

Prime factors of 69547 are 17, 4091. Prime factorization of 69547 in exponential form is:

69547 = 17¹ × 4091¹

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 69547

List of positive integer factors of 69547 that divides 69547 without a remainder.

1, 17, 4091

Step-4: Factors of 69564

List of positive integer factors of 69564 that divides 69547 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 69547 and 69564. The biggest common factor number is the GCF number.
So the greatest common factor 69547 and 69564 is 17.

Also check out the Least Common Multiple of 69547 and 69564