What is the Greatest Common Factor of 69559 and 69572?

Greatest common factor (GCF) of 69559 and 69572 is 1.

GCF(69559,69572) = 1

We will now calculate the prime factors of 69559 and 69572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69559 and 69572.

How to find the GCF of 69559 and 69572?

We will first find the prime factorization of 69559 and 69572. After we will calculate the factors of 69559 and 69572 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 69572

Prime factors of 69572 are 2, 17393. Prime factorization of 69572 in exponential form is:

69572 = 2² × 17393¹

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 69572

List of positive integer factors of 69572 that divides 69559 without a remainder.

1, 2, 4, 17393, 34786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69559 and 69572. The biggest common factor number is the GCF number.
So the greatest common factor 69559 and 69572 is 1.

Also check out the Least Common Multiple of 69559 and 69572