What is the Greatest Common Factor of 49659 and 49677?

Greatest common factor (GCF) of 49659 and 49677 is 3.

GCF(49659,49677) = 3

We will now calculate the prime factors of 49659 and 49677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49659 and 49677.

How to find the GCF of 49659 and 49677?

We will first find the prime factorization of 49659 and 49677. After we will calculate the factors of 49659 and 49677 and find the biggest common factor number .

Step-1: Prime Factorization of 49659

Prime factors of 49659 are 3, 16553. Prime factorization of 49659 in exponential form is:

49659 = 3¹ × 16553¹

Step-2: Prime Factorization of 49677

Prime factors of 49677 are 3, 29, 571. Prime factorization of 49677 in exponential form is:

49677 = 3¹ × 29¹ × 571¹

Step-3: Factors of 49659

List of positive integer factors of 49659 that divides 49659 without a remainder.

1, 3, 16553

Step-4: Factors of 49677

List of positive integer factors of 49677 that divides 49659 without a remainder.

1, 3, 29, 87, 571, 1713, 16559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49659 and 49677. The biggest common factor number is the GCF number.
So the greatest common factor 49659 and 49677 is 3.

Also check out the Least Common Multiple of 49659 and 49677