What is the Greatest Common Factor of 48705 and 48722?

Greatest common factor (GCF) of 48705 and 48722 is 17.

GCF(48705,48722) = 17

We will now calculate the prime factors of 48705 and 48722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48705 and 48722.

How to find the GCF of 48705 and 48722?

We will first find the prime factorization of 48705 and 48722. After we will calculate the factors of 48705 and 48722 and find the biggest common factor number .

Step-1: Prime Factorization of 48705

Prime factors of 48705 are 3, 5, 17, 191. Prime factorization of 48705 in exponential form is:

48705 = 3¹ × 5¹ × 17¹ × 191¹

Step-2: 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-3: Factors of 48705

List of positive integer factors of 48705 that divides 48705 without a remainder.

1, 3, 5, 15, 17, 51, 85, 191, 255, 573, 955, 2865, 3247, 9741, 16235

Step-4: Factors of 48722

List of positive integer factors of 48722 that divides 48705 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48705 and 48722. The biggest common factor number is the GCF number.
So the greatest common factor 48705 and 48722 is 17.

Also check out the Least Common Multiple of 48705 and 48722