What is the Greatest Common Factor of 48438 and 48451?

Greatest common factor (GCF) of 48438 and 48451 is 13.

GCF(48438,48451) = 13

We will now calculate the prime factors of 48438 and 48451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48438 and 48451.

How to find the GCF of 48438 and 48451?

We will first find the prime factorization of 48438 and 48451. After we will calculate the factors of 48438 and 48451 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48451

Prime factors of 48451 are 13, 3727. Prime factorization of 48451 in exponential form is:

48451 = 13¹ × 3727¹

Step-3: Factors of 48438

List of positive integer factors of 48438 that divides 48438 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

Step-4: Factors of 48451

List of positive integer factors of 48451 that divides 48438 without a remainder.

1, 13, 3727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48438 and 48451. The biggest common factor number is the GCF number.
So the greatest common factor 48438 and 48451 is 13.

Also check out the Least Common Multiple of 48438 and 48451