What is the Greatest Common Factor of 69197 and 69208?

Greatest common factor (GCF) of 69197 and 69208 is 1.

GCF(69197,69208) = 1

We will now calculate the prime factors of 69197 and 69208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69197 and 69208.

How to find the GCF of 69197 and 69208?

We will first find the prime factorization of 69197 and 69208. After we will calculate the factors of 69197 and 69208 and find the biggest common factor number .

Step-1: Prime Factorization of 69197

Prime factors of 69197 are 69197. Prime factorization of 69197 in exponential form is:

69197 = 69197¹

Step-2: Prime Factorization of 69208

Prime factors of 69208 are 2, 41, 211. Prime factorization of 69208 in exponential form is:

69208 = 2³ × 41¹ × 211¹

Step-3: Factors of 69197

List of positive integer factors of 69197 that divides 69197 without a remainder.

Step-4: Factors of 69208

List of positive integer factors of 69208 that divides 69197 without a remainder.

1, 2, 4, 8, 41, 82, 164, 211, 328, 422, 844, 1688, 8651, 17302, 34604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69197 and 69208. The biggest common factor number is the GCF number.
So the greatest common factor 69197 and 69208 is 1.

Also check out the Least Common Multiple of 69197 and 69208