What is the Greatest Common Factor of 40224 and 40240?

Greatest common factor (GCF) of 40224 and 40240 is 16.

GCF(40224,40240) = 16

We will now calculate the prime factors of 40224 and 40240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40224 and 40240.

How to find the GCF of 40224 and 40240?

We will first find the prime factorization of 40224 and 40240. After we will calculate the factors of 40224 and 40240 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40240

Prime factors of 40240 are 2, 5, 503. Prime factorization of 40240 in exponential form is:

40240 = 2⁴ × 5¹ × 503¹

Step-3: Factors of 40224

List of positive integer factors of 40224 that divides 40224 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

Step-4: Factors of 40240

List of positive integer factors of 40240 that divides 40224 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 503, 1006, 2012, 2515, 4024, 5030, 8048, 10060, 20120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40224 and 40240. The biggest common factor number is the GCF number.
So the greatest common factor 40224 and 40240 is 16.

Also check out the Least Common Multiple of 40224 and 40240