What is the Greatest Common Factor of 39444 and 39463?

Greatest common factor (GCF) of 39444 and 39463 is 19.

GCF(39444,39463) = 19

We will now calculate the prime factors of 39444 and 39463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39444 and 39463.

How to find the GCF of 39444 and 39463?

We will first find the prime factorization of 39444 and 39463. After we will calculate the factors of 39444 and 39463 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39463

Prime factors of 39463 are 19, 31, 67. Prime factorization of 39463 in exponential form is:

39463 = 19¹ × 31¹ × 67¹

Step-3: Factors of 39444

List of positive integer factors of 39444 that divides 39444 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

Step-4: Factors of 39463

List of positive integer factors of 39463 that divides 39444 without a remainder.

1, 19, 31, 67, 589, 1273, 2077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39444 and 39463. The biggest common factor number is the GCF number.
So the greatest common factor 39444 and 39463 is 19.

Also check out the Least Common Multiple of 39444 and 39463