What is the Greatest Common Factor of 48642 and 48649?

Greatest common factor (GCF) of 48642 and 48649 is 1.

GCF(48642,48649) = 1

We will now calculate the prime factors of 48642 and 48649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48642 and 48649.

How to find the GCF of 48642 and 48649?

We will first find the prime factorization of 48642 and 48649. After we will calculate the factors of 48642 and 48649 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48649

Prime factors of 48649 are 48649. Prime factorization of 48649 in exponential form is:

48649 = 48649¹

Step-3: Factors of 48642

List of positive integer factors of 48642 that divides 48642 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

Step-4: Factors of 48649

List of positive integer factors of 48649 that divides 48642 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48642 and 48649. The biggest common factor number is the GCF number.
So the greatest common factor 48642 and 48649 is 1.

Also check out the Least Common Multiple of 48642 and 48649