What is the Greatest Common Factor of 49611 and 49629?

Greatest common factor (GCF) of 49611 and 49629 is 3.

GCF(49611,49629) = 3

We will now calculate the prime factors of 49611 and 49629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49611 and 49629.

How to find the GCF of 49611 and 49629?

We will first find the prime factorization of 49611 and 49629. After we will calculate the factors of 49611 and 49629 and find the biggest common factor number .

Step-1: Prime Factorization of 49611

Prime factors of 49611 are 3, 23, 719. Prime factorization of 49611 in exponential form is:

49611 = 3¹ × 23¹ × 719¹

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 49611

List of positive integer factors of 49611 that divides 49611 without a remainder.

1, 3, 23, 69, 719, 2157, 16537

Step-4: Factors of 49629

List of positive integer factors of 49629 that divides 49611 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49611 and 49629. The biggest common factor number is the GCF number.
So the greatest common factor 49611 and 49629 is 3.

Also check out the Least Common Multiple of 49611 and 49629