What is the Greatest Common Factor of 49623 and 49629?

Greatest common factor (GCF) of 49623 and 49629 is 3.

GCF(49623,49629) = 3

We will now calculate the prime factors of 49623 and 49629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49623 and 49629.

How to find the GCF of 49623 and 49629?

We will first find the prime factorization of 49623 and 49629. After we will calculate the factors of 49623 and 49629 and find the biggest common factor number .

Step-1: Prime Factorization of 49623

Prime factors of 49623 are 3, 7, 17, 139. Prime factorization of 49623 in exponential form is:

49623 = 3¹ × 7¹ × 17¹ × 139¹

Step-2: Prime Factorization of 49629

Prime factors of 49629 are 3, 71, 233. Prime factorization of 49629 in exponential form is:

49629 = 3¹ × 71¹ × 233¹

Step-3: Factors of 49623

List of positive integer factors of 49623 that divides 49623 without a remainder.

1, 3, 7, 17, 21, 51, 119, 139, 357, 417, 973, 2363, 2919, 7089, 16541

Step-4: Factors of 49629

List of positive integer factors of 49629 that divides 49623 without a remainder.

1, 3, 71, 213, 233, 699, 16543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49623 and 49629. The biggest common factor number is the GCF number.
So the greatest common factor 49623 and 49629 is 3.

Also check out the Least Common Multiple of 49623 and 49629