What is the Greatest Common Factor of 60610 and 60630?

Greatest common factor (GCF) of 60610 and 60630 is 10.

GCF(60610,60630) = 10

We will now calculate the prime factors of 60610 and 60630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60610 and 60630.

How to find the GCF of 60610 and 60630?

We will first find the prime factorization of 60610 and 60630. After we will calculate the factors of 60610 and 60630 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 60630

Prime factors of 60630 are 2, 3, 5, 43, 47. Prime factorization of 60630 in exponential form is:

60630 = 2¹ × 3¹ × 5¹ × 43¹ × 47¹

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 60630

List of positive integer factors of 60630 that divides 60610 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 47, 86, 94, 129, 141, 215, 235, 258, 282, 430, 470, 645, 705, 1290, 1410, 2021, 4042, 6063, 10105, 12126, 20210, 30315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60610 and 60630. The biggest common factor number is the GCF number.
So the greatest common factor 60610 and 60630 is 10.

Also check out the Least Common Multiple of 60610 and 60630