What is the Greatest Common Factor of 47208 and 47222?

Greatest common factor (GCF) of 47208 and 47222 is 14.

GCF(47208,47222) = 14

We will now calculate the prime factors of 47208 and 47222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47208 and 47222.

How to find the GCF of 47208 and 47222?

We will first find the prime factorization of 47208 and 47222. After we will calculate the factors of 47208 and 47222 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47222

Prime factors of 47222 are 2, 7, 3373. Prime factorization of 47222 in exponential form is:

47222 = 2¹ × 7¹ × 3373¹

Step-3: Factors of 47208

List of positive integer factors of 47208 that divides 47208 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

Step-4: Factors of 47222

List of positive integer factors of 47222 that divides 47208 without a remainder.

1, 2, 7, 14, 3373, 6746, 23611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47208 and 47222. The biggest common factor number is the GCF number.
So the greatest common factor 47208 and 47222 is 14.

Also check out the Least Common Multiple of 47208 and 47222