What is the Greatest Common Factor of 49716 and 49722?

Greatest common factor (GCF) of 49716 and 49722 is 6.

GCF(49716,49722) = 6

We will now calculate the prime factors of 49716 and 49722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49716 and 49722.

How to find the GCF of 49716 and 49722?

We will first find the prime factorization of 49716 and 49722. After we will calculate the factors of 49716 and 49722 and find the biggest common factor number .

Step-1: Prime Factorization of 49716

Prime factors of 49716 are 2, 3, 1381. Prime factorization of 49716 in exponential form is:

49716 = 2² × 3² × 1381¹

Step-2: Prime Factorization of 49722

Prime factors of 49722 are 2, 3, 8287. Prime factorization of 49722 in exponential form is:

49722 = 2¹ × 3¹ × 8287¹

Step-3: Factors of 49716

List of positive integer factors of 49716 that divides 49716 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1381, 2762, 4143, 5524, 8286, 12429, 16572, 24858

Step-4: Factors of 49722

List of positive integer factors of 49722 that divides 49716 without a remainder.

1, 2, 3, 6, 8287, 16574, 24861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49716 and 49722. The biggest common factor number is the GCF number.
So the greatest common factor 49716 and 49722 is 6.

Also check out the Least Common Multiple of 49716 and 49722