What is the Greatest Common Factor of 49749 and 49767?

Greatest common factor (GCF) of 49749 and 49767 is 3.

GCF(49749,49767) = 3

We will now calculate the prime factors of 49749 and 49767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49749 and 49767.

How to find the GCF of 49749 and 49767?

We will first find the prime factorization of 49749 and 49767. After we will calculate the factors of 49749 and 49767 and find the biggest common factor number .

Step-1: Prime Factorization of 49749

Prime factors of 49749 are 3, 7, 23, 103. Prime factorization of 49749 in exponential form is:

49749 = 3¹ × 7¹ × 23¹ × 103¹

Step-2: Prime Factorization of 49767

Prime factors of 49767 are 3, 53, 313. Prime factorization of 49767 in exponential form is:

49767 = 3¹ × 53¹ × 313¹

Step-3: Factors of 49749

List of positive integer factors of 49749 that divides 49749 without a remainder.

1, 3, 7, 21, 23, 69, 103, 161, 309, 483, 721, 2163, 2369, 7107, 16583

Step-4: Factors of 49767

List of positive integer factors of 49767 that divides 49749 without a remainder.

1, 3, 53, 159, 313, 939, 16589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49749 and 49767. The biggest common factor number is the GCF number.
So the greatest common factor 49749 and 49767 is 3.

Also check out the Least Common Multiple of 49749 and 49767