What is the Greatest Common Factor of 49647 and 49653?

Greatest common factor (GCF) of 49647 and 49653 is 3.

GCF(49647,49653) = 3

We will now calculate the prime factors of 49647 and 49653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49647 and 49653.

How to find the GCF of 49647 and 49653?

We will first find the prime factorization of 49647 and 49653. After we will calculate the factors of 49647 and 49653 and find the biggest common factor number .

Step-1: Prime Factorization of 49647

Prime factors of 49647 are 3, 13, 19, 67. Prime factorization of 49647 in exponential form is:

49647 = 3¹ × 13¹ × 19¹ × 67¹

Step-2: Prime Factorization of 49653

Prime factors of 49653 are 3, 613. Prime factorization of 49653 in exponential form is:

49653 = 3⁴ × 613¹

Step-3: Factors of 49647

List of positive integer factors of 49647 that divides 49647 without a remainder.

1, 3, 13, 19, 39, 57, 67, 201, 247, 741, 871, 1273, 2613, 3819, 16549

Step-4: Factors of 49653

List of positive integer factors of 49653 that divides 49647 without a remainder.

1, 3, 9, 27, 81, 613, 1839, 5517, 16551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49647 and 49653. The biggest common factor number is the GCF number.
So the greatest common factor 49647 and 49653 is 3.

Also check out the Least Common Multiple of 49647 and 49653