What is the Greatest Common Factor of 69559 and 69576?

Greatest common factor (GCF) of 69559 and 69576 is 1.

GCF(69559,69576) = 1

We will now calculate the prime factors of 69559 and 69576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69559 and 69576.

How to find the GCF of 69559 and 69576?

We will first find the prime factorization of 69559 and 69576. After we will calculate the factors of 69559 and 69576 and find the biggest common factor number .

Step-1: Prime Factorization of 69559

Prime factors of 69559 are 7, 19, 523. Prime factorization of 69559 in exponential form is:

69559 = 7¹ × 19¹ × 523¹

Step-2: 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-3: Factors of 69559

List of positive integer factors of 69559 that divides 69559 without a remainder.

1, 7, 19, 133, 523, 3661, 9937

Step-4: Factors of 69576

List of positive integer factors of 69576 that divides 69559 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69559 and 69576. The biggest common factor number is the GCF number.
So the greatest common factor 69559 and 69576 is 1.

Also check out the Least Common Multiple of 69559 and 69576