What is the Greatest Common Factor of 60716 and 60722?

Greatest common factor (GCF) of 60716 and 60722 is 2.

GCF(60716,60722) = 2

We will now calculate the prime factors of 60716 and 60722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60716 and 60722.

How to find the GCF of 60716 and 60722?

We will first find the prime factorization of 60716 and 60722. After we will calculate the factors of 60716 and 60722 and find the biggest common factor number .

Step-1: Prime Factorization of 60716

Prime factors of 60716 are 2, 43, 353. Prime factorization of 60716 in exponential form is:

60716 = 2² × 43¹ × 353¹

Step-2: Prime Factorization of 60722

Prime factors of 60722 are 2, 97, 313. Prime factorization of 60722 in exponential form is:

60722 = 2¹ × 97¹ × 313¹

Step-3: Factors of 60716

List of positive integer factors of 60716 that divides 60716 without a remainder.

1, 2, 4, 43, 86, 172, 353, 706, 1412, 15179, 30358

Step-4: Factors of 60722

List of positive integer factors of 60722 that divides 60716 without a remainder.

1, 2, 97, 194, 313, 626, 30361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60716 and 60722. The biggest common factor number is the GCF number.
So the greatest common factor 60716 and 60722 is 2.

Also check out the Least Common Multiple of 60716 and 60722