What is the Greatest Common Factor of 210 and 228?

Greatest common factor (GCF) of 210 and 228 is 6.

GCF(210,228) = 6

We will now calculate the prime factors of 210 and 228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 210 and 228.

How to find the GCF of 210 and 228?

We will first find the prime factorization of 210 and 228. After we will calculate the factors of 210 and 228 and find the biggest common factor number .

Step-1: Prime Factorization of 210

Prime factors of 210 are 2, 3, 5, 7. Prime factorization of 210 in exponential form is:

210 = 2¹ × 3¹ × 5¹ × 7¹

Step-2: Prime Factorization of 228

Prime factors of 228 are 2, 3, 19. Prime factorization of 228 in exponential form is:

228 = 2² × 3¹ × 19¹

Step-3: Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105

Step-4: Factors of 228

List of positive integer factors of 228 that divides 210 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 210 and 228. The biggest common factor number is the GCF number.
So the greatest common factor 210 and 228 is 6.

Also check out the Least Common Multiple of 210 and 228