What is the Greatest Common Factor of 69584 and 69601?

Greatest common factor (GCF) of 69584 and 69601 is 1.

GCF(69584,69601) = 1

We will now calculate the prime factors of 69584 and 69601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69584 and 69601.

How to find the GCF of 69584 and 69601?

We will first find the prime factorization of 69584 and 69601. After we will calculate the factors of 69584 and 69601 and find the biggest common factor number .

Step-1: Prime Factorization of 69584

Prime factors of 69584 are 2, 4349. Prime factorization of 69584 in exponential form is:

69584 = 2⁴ × 4349¹

Step-2: Prime Factorization of 69601

Prime factors of 69601 are 7, 61, 163. Prime factorization of 69601 in exponential form is:

69601 = 7¹ × 61¹ × 163¹

Step-3: Factors of 69584

List of positive integer factors of 69584 that divides 69584 without a remainder.

1, 2, 4, 8, 16, 4349, 8698, 17396, 34792

Step-4: Factors of 69601

List of positive integer factors of 69601 that divides 69584 without a remainder.

1, 7, 61, 163, 427, 1141, 9943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69584 and 69601. The biggest common factor number is the GCF number.
So the greatest common factor 69584 and 69601 is 1.

Also check out the Least Common Multiple of 69584 and 69601