What is the Greatest Common Factor of 49725 and 49737?

Greatest common factor (GCF) of 49725 and 49737 is 3.

GCF(49725,49737) = 3

We will now calculate the prime factors of 49725 and 49737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49725 and 49737.

How to find the GCF of 49725 and 49737?

We will first find the prime factorization of 49725 and 49737. After we will calculate the factors of 49725 and 49737 and find the biggest common factor number .

Step-1: Prime Factorization of 49725

Prime factors of 49725 are 3, 5, 13, 17. Prime factorization of 49725 in exponential form is:

49725 = 3² × 5² × 13¹ × 17¹

Step-2: Prime Factorization of 49737

Prime factors of 49737 are 3, 59, 281. Prime factorization of 49737 in exponential form is:

49737 = 3¹ × 59¹ × 281¹

Step-3: Factors of 49725

List of positive integer factors of 49725 that divides 49725 without a remainder.

1, 3, 5, 9, 13, 15, 17, 25, 39, 45, 51, 65, 75, 85, 117, 153, 195, 221, 225, 255, 325, 425, 585, 663, 765, 975, 1105, 1275, 1989, 2925, 3315, 3825, 5525, 9945, 16575

Step-4: Factors of 49737

List of positive integer factors of 49737 that divides 49725 without a remainder.

1, 3, 59, 177, 281, 843, 16579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49725 and 49737. The biggest common factor number is the GCF number.
So the greatest common factor 49725 and 49737 is 3.

Also check out the Least Common Multiple of 49725 and 49737