What is the Greatest Common Factor of 69258 and 69271?

Greatest common factor (GCF) of 69258 and 69271 is 1.

GCF(69258,69271) = 1

We will now calculate the prime factors of 69258 and 69271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69258 and 69271.

How to find the GCF of 69258 and 69271?

We will first find the prime factorization of 69258 and 69271. After we will calculate the factors of 69258 and 69271 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 69271

Prime factors of 69271 are 53, 1307. Prime factorization of 69271 in exponential form is:

69271 = 53¹ × 1307¹

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 69271

List of positive integer factors of 69271 that divides 69258 without a remainder.

1, 53, 1307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69258 and 69271. The biggest common factor number is the GCF number.
So the greatest common factor 69258 and 69271 is 1.

Also check out the Least Common Multiple of 69258 and 69271