What is the Greatest Common Factor of 60605 and 60622?

Greatest common factor (GCF) of 60605 and 60622 is 17.

GCF(60605,60622) = 17

We will now calculate the prime factors of 60605 and 60622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60605 and 60622.

How to find the GCF of 60605 and 60622?

We will first find the prime factorization of 60605 and 60622. After we will calculate the factors of 60605 and 60622 and find the biggest common factor number .

Step-1: Prime Factorization of 60605

Prime factors of 60605 are 5, 17, 23, 31. Prime factorization of 60605 in exponential form is:

60605 = 5¹ × 17¹ × 23¹ × 31¹

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 60605

List of positive integer factors of 60605 that divides 60605 without a remainder.

1, 5, 17, 23, 31, 85, 115, 155, 391, 527, 713, 1955, 2635, 3565, 12121

Step-4: Factors of 60622

List of positive integer factors of 60622 that divides 60605 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60605 and 60622. The biggest common factor number is the GCF number.
So the greatest common factor 60605 and 60622 is 17.

Also check out the Least Common Multiple of 60605 and 60622