What is the Greatest Common Factor of 69576 and 69585?

Greatest common factor (GCF) of 69576 and 69585 is 3.

GCF(69576,69585) = 3

We will now calculate the prime factors of 69576 and 69585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69576 and 69585.

How to find the GCF of 69576 and 69585?

We will first find the prime factorization of 69576 and 69585. After we will calculate the factors of 69576 and 69585 and find the biggest common factor number .

Step-1: Prime Factorization of 69576

Prime factors of 69576 are 2, 3, 13, 223. Prime factorization of 69576 in exponential form is:

69576 = 2³ × 3¹ × 13¹ × 223¹

Step-2: Prime Factorization of 69585

Prime factors of 69585 are 3, 5, 4639. Prime factorization of 69585 in exponential form is:

69585 = 3¹ × 5¹ × 4639¹

Step-3: Factors of 69576

List of positive integer factors of 69576 that divides 69576 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 223, 312, 446, 669, 892, 1338, 1784, 2676, 2899, 5352, 5798, 8697, 11596, 17394, 23192, 34788

Step-4: Factors of 69585

List of positive integer factors of 69585 that divides 69576 without a remainder.

1, 3, 5, 15, 4639, 13917, 23195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69576 and 69585. The biggest common factor number is the GCF number.
So the greatest common factor 69576 and 69585 is 3.

Also check out the Least Common Multiple of 69576 and 69585