What is the Greatest Common Factor of 69208 and 69215?

Greatest common factor (GCF) of 69208 and 69215 is 1.

GCF(69208,69215) = 1

We will now calculate the prime factors of 69208 and 69215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69208 and 69215.

How to find the GCF of 69208 and 69215?

We will first find the prime factorization of 69208 and 69215. After we will calculate the factors of 69208 and 69215 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69215

Prime factors of 69215 are 5, 109, 127. Prime factorization of 69215 in exponential form is:

69215 = 5¹ × 109¹ × 127¹

Step-3: Factors of 69208

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

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

Step-4: Factors of 69215

List of positive integer factors of 69215 that divides 69208 without a remainder.

1, 5, 109, 127, 545, 635, 13843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69208 and 69215. The biggest common factor number is the GCF number.
So the greatest common factor 69208 and 69215 is 1.

Also check out the Least Common Multiple of 69208 and 69215