What is the Greatest Common Factor of 49749 and 49757?

Greatest common factor (GCF) of 49749 and 49757 is 1.

GCF(49749,49757) = 1

We will now calculate the prime factors of 49749 and 49757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49749 and 49757.

How to find the GCF of 49749 and 49757?

We will first find the prime factorization of 49749 and 49757. After we will calculate the factors of 49749 and 49757 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 49757

Prime factors of 49757 are 49757. Prime factorization of 49757 in exponential form is:

49757 = 49757¹

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 49757

List of positive integer factors of 49757 that divides 49749 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49749 and 49757. The biggest common factor number is the GCF number.
So the greatest common factor 49749 and 49757 is 1.

Also check out the Least Common Multiple of 49749 and 49757