What is the Greatest Common Factor of 69380 and 69397?

Greatest common factor (GCF) of 69380 and 69397 is 1.

GCF(69380,69397) = 1

We will now calculate the prime factors of 69380 and 69397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69380 and 69397.

How to find the GCF of 69380 and 69397?

We will first find the prime factorization of 69380 and 69397. After we will calculate the factors of 69380 and 69397 and find the biggest common factor number .

Step-1: Prime Factorization of 69380

Prime factors of 69380 are 2, 5, 3469. Prime factorization of 69380 in exponential form is:

69380 = 2² × 5¹ × 3469¹

Step-2: Prime Factorization of 69397

Prime factors of 69397 are 29, 2393. Prime factorization of 69397 in exponential form is:

69397 = 29¹ × 2393¹

Step-3: Factors of 69380

List of positive integer factors of 69380 that divides 69380 without a remainder.

1, 2, 4, 5, 10, 20, 3469, 6938, 13876, 17345, 34690

Step-4: Factors of 69397

List of positive integer factors of 69397 that divides 69380 without a remainder.

1, 29, 2393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69380 and 69397. The biggest common factor number is the GCF number.
So the greatest common factor 69380 and 69397 is 1.

Also check out the Least Common Multiple of 69380 and 69397