What is the Greatest Common Factor of 69208 and 69214?

Greatest common factor (GCF) of 69208 and 69214 is 2.

GCF(69208,69214) = 2

We will now calculate the prime factors of 69208 and 69214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69208 and 69214.

How to find the GCF of 69208 and 69214?

We will first find the prime factorization of 69208 and 69214. After we will calculate the factors of 69208 and 69214 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 69214

Prime factors of 69214 are 2, 34607. Prime factorization of 69214 in exponential form is:

69214 = 2¹ × 34607¹

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 69214

List of positive integer factors of 69214 that divides 69208 without a remainder.

1, 2, 34607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69208 and 69214. The biggest common factor number is the GCF number.
So the greatest common factor 69208 and 69214 is 2.

Also check out the Least Common Multiple of 69208 and 69214