What is the Greatest Common Factor of 49737 and 49746?

Greatest common factor (GCF) of 49737 and 49746 is 3.

GCF(49737,49746) = 3

We will now calculate the prime factors of 49737 and 49746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49737 and 49746.

How to find the GCF of 49737 and 49746?

We will first find the prime factorization of 49737 and 49746. After we will calculate the factors of 49737 and 49746 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49746

Prime factors of 49746 are 2, 3, 8291. Prime factorization of 49746 in exponential form is:

49746 = 2¹ × 3¹ × 8291¹

Step-3: Factors of 49737

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

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

Step-4: Factors of 49746

List of positive integer factors of 49746 that divides 49737 without a remainder.

1, 2, 3, 6, 8291, 16582, 24873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49737 and 49746. The biggest common factor number is the GCF number.
So the greatest common factor 49737 and 49746 is 3.

Also check out the Least Common Multiple of 49737 and 49746