What is the Greatest Common Factor of 69575 and 69586?

Greatest common factor (GCF) of 69575 and 69586 is 11.

GCF(69575,69586) = 11

We will now calculate the prime factors of 69575 and 69586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69575 and 69586.

How to find the GCF of 69575 and 69586?

We will first find the prime factorization of 69575 and 69586. After we will calculate the factors of 69575 and 69586 and find the biggest common factor number .

Step-1: Prime Factorization of 69575

Prime factors of 69575 are 5, 11, 23. Prime factorization of 69575 in exponential form is:

69575 = 5² × 11² × 23¹

Step-2: Prime Factorization of 69586

Prime factors of 69586 are 2, 11, 3163. Prime factorization of 69586 in exponential form is:

69586 = 2¹ × 11¹ × 3163¹

Step-3: Factors of 69575

List of positive integer factors of 69575 that divides 69575 without a remainder.

1, 5, 11, 23, 25, 55, 115, 121, 253, 275, 575, 605, 1265, 2783, 3025, 6325, 13915

Step-4: Factors of 69586

List of positive integer factors of 69586 that divides 69575 without a remainder.

1, 2, 11, 22, 3163, 6326, 34793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69575 and 69586. The biggest common factor number is the GCF number.
So the greatest common factor 69575 and 69586 is 11.

Also check out the Least Common Multiple of 69575 and 69586