What is the Greatest Common Factor of 40212 and 40224?

Greatest common factor (GCF) of 40212 and 40224 is 12.

GCF(40212,40224) = 12

We will now calculate the prime factors of 40212 and 40224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40212 and 40224.

How to find the GCF of 40212 and 40224?

We will first find the prime factorization of 40212 and 40224. After we will calculate the factors of 40212 and 40224 and find the biggest common factor number .

Step-1: Prime Factorization of 40212

Prime factors of 40212 are 2, 3, 1117. Prime factorization of 40212 in exponential form is:

40212 = 2² × 3² × 1117¹

Step-2: Prime Factorization of 40224

Prime factors of 40224 are 2, 3, 419. Prime factorization of 40224 in exponential form is:

40224 = 2⁵ × 3¹ × 419¹

Step-3: Factors of 40212

List of positive integer factors of 40212 that divides 40212 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1117, 2234, 3351, 4468, 6702, 10053, 13404, 20106

Step-4: Factors of 40224

List of positive integer factors of 40224 that divides 40212 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 419, 838, 1257, 1676, 2514, 3352, 5028, 6704, 10056, 13408, 20112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40212 and 40224. The biggest common factor number is the GCF number.
So the greatest common factor 40212 and 40224 is 12.

Also check out the Least Common Multiple of 40212 and 40224