What is the Greatest Common Factor of 42389 and 42408?

Greatest common factor (GCF) of 42389 and 42408 is 19.

GCF(42389,42408) = 19

We will now calculate the prime factors of 42389 and 42408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42389 and 42408.

How to find the GCF of 42389 and 42408?

We will first find the prime factorization of 42389 and 42408. After we will calculate the factors of 42389 and 42408 and find the biggest common factor number .

Step-1: Prime Factorization of 42389

Prime factors of 42389 are 19, 23, 97. Prime factorization of 42389 in exponential form is:

42389 = 19¹ × 23¹ × 97¹

Step-2: Prime Factorization of 42408

Prime factors of 42408 are 2, 3, 19, 31. Prime factorization of 42408 in exponential form is:

42408 = 2³ × 3² × 19¹ × 31¹

Step-3: Factors of 42389

List of positive integer factors of 42389 that divides 42389 without a remainder.

1, 19, 23, 97, 437, 1843, 2231

Step-4: Factors of 42408

List of positive integer factors of 42408 that divides 42389 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 31, 36, 38, 57, 62, 72, 76, 93, 114, 124, 152, 171, 186, 228, 248, 279, 342, 372, 456, 558, 589, 684, 744, 1116, 1178, 1368, 1767, 2232, 2356, 3534, 4712, 5301, 7068, 10602, 14136, 21204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42389 and 42408. The biggest common factor number is the GCF number.
So the greatest common factor 42389 and 42408 is 19.

Also check out the Least Common Multiple of 42389 and 42408