What is the Greatest Common Factor of 69576 and 69582?

Greatest common factor (GCF) of 69576 and 69582 is 6.

GCF(69576,69582) = 6

We will now calculate the prime factors of 69576 and 69582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69576 and 69582.

How to find the GCF of 69576 and 69582?

We will first find the prime factorization of 69576 and 69582. After we will calculate the factors of 69576 and 69582 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 69582

Prime factors of 69582 are 2, 3, 11597. Prime factorization of 69582 in exponential form is:

69582 = 2¹ × 3¹ × 11597¹

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 69582

List of positive integer factors of 69582 that divides 69576 without a remainder.

1, 2, 3, 6, 11597, 23194, 34791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69576 and 69582. The biggest common factor number is the GCF number.
So the greatest common factor 69576 and 69582 is 6.

Also check out the Least Common Multiple of 69576 and 69582