What is the Greatest Common Factor of 69357 and 69373?

Greatest common factor (GCF) of 69357 and 69373 is 1.

GCF(69357,69373) = 1

We will now calculate the prime factors of 69357 and 69373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69357 and 69373.

How to find the GCF of 69357 and 69373?

We will first find the prime factorization of 69357 and 69373. After we will calculate the factors of 69357 and 69373 and find the biggest common factor number .

Step-1: Prime Factorization of 69357

Prime factors of 69357 are 3, 61, 379. Prime factorization of 69357 in exponential form is:

69357 = 3¹ × 61¹ × 379¹

Step-2: Prime Factorization of 69373

Prime factors of 69373 are 173, 401. Prime factorization of 69373 in exponential form is:

69373 = 173¹ × 401¹

Step-3: Factors of 69357

List of positive integer factors of 69357 that divides 69357 without a remainder.

1, 3, 61, 183, 379, 1137, 23119

Step-4: Factors of 69373

List of positive integer factors of 69373 that divides 69357 without a remainder.

1, 173, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69357 and 69373. The biggest common factor number is the GCF number.
So the greatest common factor 69357 and 69373 is 1.

Also check out the Least Common Multiple of 69357 and 69373