What is the Greatest Common Factor of 60606 and 60622?

Greatest common factor (GCF) of 60606 and 60622 is 2.

GCF(60606,60622) = 2

We will now calculate the prime factors of 60606 and 60622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60606 and 60622.

How to find the GCF of 60606 and 60622?

We will first find the prime factorization of 60606 and 60622. After we will calculate the factors of 60606 and 60622 and find the biggest common factor number .

Step-1: Prime Factorization of 60606

Prime factors of 60606 are 2, 3, 7, 13, 37. Prime factorization of 60606 in exponential form is:

60606 = 2¹ × 3² × 7¹ × 13¹ × 37¹

Step-2: Prime Factorization of 60622

Prime factors of 60622 are 2, 17, 1783. Prime factorization of 60622 in exponential form is:

60622 = 2¹ × 17¹ × 1783¹

Step-3: Factors of 60606

List of positive integer factors of 60606 that divides 60606 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 37, 39, 42, 63, 74, 78, 91, 111, 117, 126, 182, 222, 234, 259, 273, 333, 481, 518, 546, 666, 777, 819, 962, 1443, 1554, 1638, 2331, 2886, 3367, 4329, 4662, 6734, 8658, 10101, 20202, 30303

Step-4: Factors of 60622

List of positive integer factors of 60622 that divides 60606 without a remainder.

1, 2, 17, 34, 1783, 3566, 30311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60606 and 60622. The biggest common factor number is the GCF number.
So the greatest common factor 60606 and 60622 is 2.

Also check out the Least Common Multiple of 60606 and 60622