What is the Greatest Common Factor of 49745 and 49755?

Greatest common factor (GCF) of 49745 and 49755 is 5.

GCF(49745,49755) = 5

We will now calculate the prime factors of 49745 and 49755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49745 and 49755.

How to find the GCF of 49745 and 49755?

We will first find the prime factorization of 49745 and 49755. After we will calculate the factors of 49745 and 49755 and find the biggest common factor number .

Step-1: Prime Factorization of 49745

Prime factors of 49745 are 5, 9949. Prime factorization of 49745 in exponential form is:

49745 = 5¹ × 9949¹

Step-2: Prime Factorization of 49755

Prime factors of 49755 are 3, 5, 31, 107. Prime factorization of 49755 in exponential form is:

49755 = 3¹ × 5¹ × 31¹ × 107¹

Step-3: Factors of 49745

List of positive integer factors of 49745 that divides 49745 without a remainder.

1, 5, 9949

Step-4: Factors of 49755

List of positive integer factors of 49755 that divides 49745 without a remainder.

1, 3, 5, 15, 31, 93, 107, 155, 321, 465, 535, 1605, 3317, 9951, 16585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49745 and 49755. The biggest common factor number is the GCF number.
So the greatest common factor 49745 and 49755 is 5.

Also check out the Least Common Multiple of 49745 and 49755