What is the Greatest Common Factor of 48633 and 48642?

Greatest common factor (GCF) of 48633 and 48642 is 3.

GCF(48633,48642) = 3

We will now calculate the prime factors of 48633 and 48642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48633 and 48642.

How to find the GCF of 48633 and 48642?

We will first find the prime factorization of 48633 and 48642. After we will calculate the factors of 48633 and 48642 and find the biggest common factor number .

Step-1: Prime Factorization of 48633

Prime factors of 48633 are 3, 13, 29, 43. Prime factorization of 48633 in exponential form is:

48633 = 3¹ × 13¹ × 29¹ × 43¹

Step-2: Prime Factorization of 48642

Prime factors of 48642 are 2, 3, 11, 67. Prime factorization of 48642 in exponential form is:

48642 = 2¹ × 3¹ × 11² × 67¹

Step-3: Factors of 48633

List of positive integer factors of 48633 that divides 48633 without a remainder.

1, 3, 13, 29, 39, 43, 87, 129, 377, 559, 1131, 1247, 1677, 3741, 16211

Step-4: Factors of 48642

List of positive integer factors of 48642 that divides 48633 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 67, 121, 134, 201, 242, 363, 402, 726, 737, 1474, 2211, 4422, 8107, 16214, 24321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48633 and 48642. The biggest common factor number is the GCF number.
So the greatest common factor 48633 and 48642 is 3.

Also check out the Least Common Multiple of 48633 and 48642