What is the Greatest Common Factor of 42194 and 42208?

Greatest common factor (GCF) of 42194 and 42208 is 2.

GCF(42194,42208) = 2

We will now calculate the prime factors of 42194 and 42208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42194 and 42208.

How to find the GCF of 42194 and 42208?

We will first find the prime factorization of 42194 and 42208. After we will calculate the factors of 42194 and 42208 and find the biggest common factor number .

Step-1: Prime Factorization of 42194

Prime factors of 42194 are 2, 17, 73. Prime factorization of 42194 in exponential form is:

42194 = 2¹ × 17² × 73¹

Step-2: Prime Factorization of 42208

Prime factors of 42208 are 2, 1319. Prime factorization of 42208 in exponential form is:

42208 = 2⁵ × 1319¹

Step-3: Factors of 42194

List of positive integer factors of 42194 that divides 42194 without a remainder.

1, 2, 17, 34, 73, 146, 289, 578, 1241, 2482, 21097

Step-4: Factors of 42208

List of positive integer factors of 42208 that divides 42194 without a remainder.

1, 2, 4, 8, 16, 32, 1319, 2638, 5276, 10552, 21104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42194 and 42208. The biggest common factor number is the GCF number.
So the greatest common factor 42194 and 42208 is 2.

Also check out the Least Common Multiple of 42194 and 42208