What is the Greatest Common Factor of 69194 and 69208?

Greatest common factor (GCF) of 69194 and 69208 is 2.

GCF(69194,69208) = 2

We will now calculate the prime factors of 69194 and 69208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69194 and 69208.

How to find the GCF of 69194 and 69208?

We will first find the prime factorization of 69194 and 69208. After we will calculate the factors of 69194 and 69208 and find the biggest common factor number .

Step-1: Prime Factorization of 69194

Prime factors of 69194 are 2, 29, 1193. Prime factorization of 69194 in exponential form is:

69194 = 2¹ × 29¹ × 1193¹

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 69194

List of positive integer factors of 69194 that divides 69194 without a remainder.

1, 2, 29, 58, 1193, 2386, 34597

Step-4: Factors of 69208

List of positive integer factors of 69208 that divides 69194 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 69194 and 69208. The biggest common factor number is the GCF number.
So the greatest common factor 69194 and 69208 is 2.

Also check out the Least Common Multiple of 69194 and 69208