What is the Greatest Common Factor of 69080 and 69091?

Greatest common factor (GCF) of 69080 and 69091 is 11.

GCF(69080,69091) = 11

We will now calculate the prime factors of 69080 and 69091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69080 and 69091.

How to find the GCF of 69080 and 69091?

We will first find the prime factorization of 69080 and 69091. After we will calculate the factors of 69080 and 69091 and find the biggest common factor number .

Step-1: Prime Factorization of 69080

Prime factors of 69080 are 2, 5, 11, 157. Prime factorization of 69080 in exponential form is:

69080 = 2³ × 5¹ × 11¹ × 157¹

Step-2: Prime Factorization of 69091

Prime factors of 69091 are 11, 571. Prime factorization of 69091 in exponential form is:

69091 = 11² × 571¹

Step-3: Factors of 69080

List of positive integer factors of 69080 that divides 69080 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 157, 220, 314, 440, 628, 785, 1256, 1570, 1727, 3140, 3454, 6280, 6908, 8635, 13816, 17270, 34540

Step-4: Factors of 69091

List of positive integer factors of 69091 that divides 69080 without a remainder.

1, 11, 121, 571, 6281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69080 and 69091. The biggest common factor number is the GCF number.
So the greatest common factor 69080 and 69091 is 11.

Also check out the Least Common Multiple of 69080 and 69091