What is the Greatest Common Factor of 69258 and 69267?

Greatest common factor (GCF) of 69258 and 69267 is 3.

GCF(69258,69267) = 3

We will now calculate the prime factors of 69258 and 69267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69258 and 69267.

How to find the GCF of 69258 and 69267?

We will first find the prime factorization of 69258 and 69267. After we will calculate the factors of 69258 and 69267 and find the biggest common factor number .

Step-1: Prime Factorization of 69258

Prime factors of 69258 are 2, 3, 7, 17, 97. Prime factorization of 69258 in exponential form is:

69258 = 2¹ × 3¹ × 7¹ × 17¹ × 97¹

Step-2: Prime Factorization of 69267

Prime factors of 69267 are 3, 11, 2099. Prime factorization of 69267 in exponential form is:

69267 = 3¹ × 11¹ × 2099¹

Step-3: Factors of 69258

List of positive integer factors of 69258 that divides 69258 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 97, 102, 119, 194, 238, 291, 357, 582, 679, 714, 1358, 1649, 2037, 3298, 4074, 4947, 9894, 11543, 23086, 34629

Step-4: Factors of 69267

List of positive integer factors of 69267 that divides 69258 without a remainder.

1, 3, 11, 33, 2099, 6297, 23089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69258 and 69267. The biggest common factor number is the GCF number.
So the greatest common factor 69258 and 69267 is 3.

Also check out the Least Common Multiple of 69258 and 69267