What is the Greatest Common Factor of 69069 and 69080?

Greatest common factor (GCF) of 69069 and 69080 is 11.

GCF(69069,69080) = 11

We will now calculate the prime factors of 69069 and 69080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69069 and 69080.

How to find the GCF of 69069 and 69080?

We will first find the prime factorization of 69069 and 69080. After we will calculate the factors of 69069 and 69080 and find the biggest common factor number .

Step-1: Prime Factorization of 69069

Prime factors of 69069 are 3, 7, 11, 13, 23. Prime factorization of 69069 in exponential form is:

69069 = 3¹ × 7¹ × 11¹ × 13¹ × 23¹

Step-2: 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-3: Factors of 69069

List of positive integer factors of 69069 that divides 69069 without a remainder.

1, 3, 7, 11, 13, 21, 23, 33, 39, 69, 77, 91, 143, 161, 231, 253, 273, 299, 429, 483, 759, 897, 1001, 1771, 2093, 3003, 3289, 5313, 6279, 9867, 23023

Step-4: Factors of 69080

List of positive integer factors of 69080 that divides 69069 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69069 and 69080. The biggest common factor number is the GCF number.
So the greatest common factor 69069 and 69080 is 11.

Also check out the Least Common Multiple of 69069 and 69080