What is the Greatest Common Factor of 60610 and 60628?

Greatest common factor (GCF) of 60610 and 60628 is 2.

GCF(60610,60628) = 2

We will now calculate the prime factors of 60610 and 60628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60610 and 60628.

How to find the GCF of 60610 and 60628?

We will first find the prime factorization of 60610 and 60628. After we will calculate the factors of 60610 and 60628 and find the biggest common factor number .

Step-1: Prime Factorization of 60610

Prime factors of 60610 are 2, 5, 11, 19, 29. Prime factorization of 60610 in exponential form is:

60610 = 2¹ × 5¹ × 11¹ × 19¹ × 29¹

Step-2: Prime Factorization of 60628

Prime factors of 60628 are 2, 23, 659. Prime factorization of 60628 in exponential form is:

60628 = 2² × 23¹ × 659¹

Step-3: Factors of 60610

List of positive integer factors of 60610 that divides 60610 without a remainder.

1, 2, 5, 10, 11, 19, 22, 29, 38, 55, 58, 95, 110, 145, 190, 209, 290, 319, 418, 551, 638, 1045, 1102, 1595, 2090, 2755, 3190, 5510, 6061, 12122, 30305

Step-4: Factors of 60628

List of positive integer factors of 60628 that divides 60610 without a remainder.

1, 2, 4, 23, 46, 92, 659, 1318, 2636, 15157, 30314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60610 and 60628. The biggest common factor number is the GCF number.
So the greatest common factor 60610 and 60628 is 2.

Also check out the Least Common Multiple of 60610 and 60628