What is the Greatest Common Factor of 47194 and 47208?

Greatest common factor (GCF) of 47194 and 47208 is 14.

GCF(47194,47208) = 14

We will now calculate the prime factors of 47194 and 47208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47194 and 47208.

How to find the GCF of 47194 and 47208?

We will first find the prime factorization of 47194 and 47208. After we will calculate the factors of 47194 and 47208 and find the biggest common factor number .

Step-1: Prime Factorization of 47194

Prime factors of 47194 are 2, 7, 3371. Prime factorization of 47194 in exponential form is:

47194 = 2¹ × 7¹ × 3371¹

Step-2: Prime Factorization of 47208

Prime factors of 47208 are 2, 3, 7, 281. Prime factorization of 47208 in exponential form is:

47208 = 2³ × 3¹ × 7¹ × 281¹

Step-3: Factors of 47194

List of positive integer factors of 47194 that divides 47194 without a remainder.

1, 2, 7, 14, 3371, 6742, 23597

Step-4: Factors of 47208

List of positive integer factors of 47208 that divides 47194 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 281, 562, 843, 1124, 1686, 1967, 2248, 3372, 3934, 5901, 6744, 7868, 11802, 15736, 23604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47194 and 47208. The biggest common factor number is the GCF number.
So the greatest common factor 47194 and 47208 is 14.

Also check out the Least Common Multiple of 47194 and 47208