What is the Greatest Common Factor of 69355 and 69371?

Greatest common factor (GCF) of 69355 and 69371 is 1.

GCF(69355,69371) = 1

We will now calculate the prime factors of 69355 and 69371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69355 and 69371.

How to find the GCF of 69355 and 69371?

We will first find the prime factorization of 69355 and 69371. After we will calculate the factors of 69355 and 69371 and find the biggest common factor number .

Step-1: Prime Factorization of 69355

Prime factors of 69355 are 5, 11, 13, 97. Prime factorization of 69355 in exponential form is:

69355 = 5¹ × 11¹ × 13¹ × 97¹

Step-2: Prime Factorization of 69371

Prime factors of 69371 are 69371. Prime factorization of 69371 in exponential form is:

69371 = 69371¹

Step-3: Factors of 69355

List of positive integer factors of 69355 that divides 69355 without a remainder.

1, 5, 11, 13, 55, 65, 97, 143, 485, 715, 1067, 1261, 5335, 6305, 13871

Step-4: Factors of 69371

List of positive integer factors of 69371 that divides 69355 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69355 and 69371. The biggest common factor number is the GCF number.
So the greatest common factor 69355 and 69371 is 1.

Also check out the Least Common Multiple of 69355 and 69371