What is the Greatest Common Factor of 39440 and 39444?

Greatest common factor (GCF) of 39440 and 39444 is 4.

GCF(39440,39444) = 4

We will now calculate the prime factors of 39440 and 39444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39440 and 39444.

How to find the GCF of 39440 and 39444?

We will first find the prime factorization of 39440 and 39444. After we will calculate the factors of 39440 and 39444 and find the biggest common factor number .

Step-1: Prime Factorization of 39440

Prime factors of 39440 are 2, 5, 17, 29. Prime factorization of 39440 in exponential form is:

39440 = 2⁴ × 5¹ × 17¹ × 29¹

Step-2: Prime Factorization of 39444

Prime factors of 39444 are 2, 3, 19, 173. Prime factorization of 39444 in exponential form is:

39444 = 2² × 3¹ × 19¹ × 173¹

Step-3: Factors of 39440

List of positive integer factors of 39440 that divides 39440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 29, 34, 40, 58, 68, 80, 85, 116, 136, 145, 170, 232, 272, 290, 340, 464, 493, 580, 680, 986, 1160, 1360, 1972, 2320, 2465, 3944, 4930, 7888, 9860, 19720

Step-4: Factors of 39444

List of positive integer factors of 39444 that divides 39440 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 173, 228, 346, 519, 692, 1038, 2076, 3287, 6574, 9861, 13148, 19722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39440 and 39444. The biggest common factor number is the GCF number.
So the greatest common factor 39440 and 39444 is 4.

Also check out the Least Common Multiple of 39440 and 39444