What is the Greatest Common Factor of 49749 and 49754?

Greatest common factor (GCF) of 49749 and 49754 is 1.

GCF(49749,49754) = 1

We will now calculate the prime factors of 49749 and 49754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49749 and 49754.

How to find the GCF of 49749 and 49754?

We will first find the prime factorization of 49749 and 49754. After we will calculate the factors of 49749 and 49754 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 49754

Prime factors of 49754 are 2, 24877. Prime factorization of 49754 in exponential form is:

49754 = 2¹ × 24877¹

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 49754

List of positive integer factors of 49754 that divides 49749 without a remainder.

1, 2, 24877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49749 and 49754. The biggest common factor number is the GCF number.
So the greatest common factor 49749 and 49754 is 1.

Also check out the Least Common Multiple of 49749 and 49754