What is the Greatest Common Factor of 48420 and 48438?

Greatest common factor (GCF) of 48420 and 48438 is 18.

GCF(48420,48438) = 18

We will now calculate the prime factors of 48420 and 48438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48420 and 48438.

How to find the GCF of 48420 and 48438?

We will first find the prime factorization of 48420 and 48438. After we will calculate the factors of 48420 and 48438 and find the biggest common factor number .

Step-1: Prime Factorization of 48420

Prime factors of 48420 are 2, 3, 5, 269. Prime factorization of 48420 in exponential form is:

48420 = 2² × 3² × 5¹ × 269¹

Step-2: Prime Factorization of 48438

Prime factors of 48438 are 2, 3, 13, 23. Prime factorization of 48438 in exponential form is:

48438 = 2¹ × 3⁴ × 13¹ × 23¹

Step-3: Factors of 48420

List of positive integer factors of 48420 that divides 48420 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 269, 538, 807, 1076, 1345, 1614, 2421, 2690, 3228, 4035, 4842, 5380, 8070, 9684, 12105, 16140, 24210

Step-4: Factors of 48438

List of positive integer factors of 48438 that divides 48420 without a remainder.

1, 2, 3, 6, 9, 13, 18, 23, 26, 27, 39, 46, 54, 69, 78, 81, 117, 138, 162, 207, 234, 299, 351, 414, 598, 621, 702, 897, 1053, 1242, 1794, 1863, 2106, 2691, 3726, 5382, 8073, 16146, 24219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48420 and 48438. The biggest common factor number is the GCF number.
So the greatest common factor 48420 and 48438 is 18.

Also check out the Least Common Multiple of 48420 and 48438