What is the Greatest Common Factor of 49587 and 49605?

Greatest common factor (GCF) of 49587 and 49605 is 3.

GCF(49587,49605) = 3

We will now calculate the prime factors of 49587 and 49605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49587 and 49605.

How to find the GCF of 49587 and 49605?

We will first find the prime factorization of 49587 and 49605. After we will calculate the factors of 49587 and 49605 and find the biggest common factor number .

Step-1: Prime Factorization of 49587

Prime factors of 49587 are 3, 16529. Prime factorization of 49587 in exponential form is:

49587 = 3¹ × 16529¹

Step-2: Prime Factorization of 49605

Prime factors of 49605 are 3, 5, 3307. Prime factorization of 49605 in exponential form is:

49605 = 3¹ × 5¹ × 3307¹

Step-3: Factors of 49587

List of positive integer factors of 49587 that divides 49587 without a remainder.

1, 3, 16529

Step-4: Factors of 49605

List of positive integer factors of 49605 that divides 49587 without a remainder.

1, 3, 5, 15, 3307, 9921, 16535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49587 and 49605. The biggest common factor number is the GCF number.
So the greatest common factor 49587 and 49605 is 3.

Also check out the Least Common Multiple of 49587 and 49605