What is the Greatest Common Factor of 48722 and 48736?

Greatest common factor (GCF) of 48722 and 48736 is 2.

GCF(48722,48736) = 2

We will now calculate the prime factors of 48722 and 48736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48722 and 48736.

How to find the GCF of 48722 and 48736?

We will first find the prime factorization of 48722 and 48736. After we will calculate the factors of 48722 and 48736 and find the biggest common factor number .

Step-1: Prime Factorization of 48722

Prime factors of 48722 are 2, 17, 1433. Prime factorization of 48722 in exponential form is:

48722 = 2¹ × 17¹ × 1433¹

Step-2: Prime Factorization of 48736

Prime factors of 48736 are 2, 1523. Prime factorization of 48736 in exponential form is:

48736 = 2⁵ × 1523¹

Step-3: Factors of 48722

List of positive integer factors of 48722 that divides 48722 without a remainder.

1, 2, 17, 34, 1433, 2866, 24361

Step-4: Factors of 48736

List of positive integer factors of 48736 that divides 48722 without a remainder.

1, 2, 4, 8, 16, 32, 1523, 3046, 6092, 12184, 24368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48722 and 48736. The biggest common factor number is the GCF number.
So the greatest common factor 48722 and 48736 is 2.

Also check out the Least Common Multiple of 48722 and 48736