What is the Greatest Common Factor of 59706 and 59722?

Greatest common factor (GCF) of 59706 and 59722 is 2.

GCF(59706,59722) = 2

We will now calculate the prime factors of 59706 and 59722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59706 and 59722.

How to find the GCF of 59706 and 59722?

We will first find the prime factorization of 59706 and 59722. After we will calculate the factors of 59706 and 59722 and find the biggest common factor number .

Step-1: Prime Factorization of 59706

Prime factors of 59706 are 2, 3, 31, 107. Prime factorization of 59706 in exponential form is:

59706 = 2¹ × 3² × 31¹ × 107¹

Step-2: Prime Factorization of 59722

Prime factors of 59722 are 2, 13, 2297. Prime factorization of 59722 in exponential form is:

59722 = 2¹ × 13¹ × 2297¹

Step-3: Factors of 59706

List of positive integer factors of 59706 that divides 59706 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 107, 186, 214, 279, 321, 558, 642, 963, 1926, 3317, 6634, 9951, 19902, 29853

Step-4: Factors of 59722

List of positive integer factors of 59722 that divides 59706 without a remainder.

1, 2, 13, 26, 2297, 4594, 29861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59706 and 59722. The biggest common factor number is the GCF number.
So the greatest common factor 59706 and 59722 is 2.

Also check out the Least Common Multiple of 59706 and 59722