What is the Greatest Common Factor of 10610 and 10620?

Greatest common factor (GCF) of 10610 and 10620 is 10.

GCF(10610,10620) = 10

We will now calculate the prime factors of 10610 and 10620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10610 and 10620.

How to find the GCF of 10610 and 10620?

We will first find the prime factorization of 10610 and 10620. After we will calculate the factors of 10610 and 10620 and find the biggest common factor number .

Step-1: Prime Factorization of 10610

Prime factors of 10610 are 2, 5, 1061. Prime factorization of 10610 in exponential form is:

10610 = 2¹ × 5¹ × 1061¹

Step-2: Prime Factorization of 10620

Prime factors of 10620 are 2, 3, 5, 59. Prime factorization of 10620 in exponential form is:

10620 = 2² × 3² × 5¹ × 59¹

Step-3: Factors of 10610

List of positive integer factors of 10610 that divides 10610 without a remainder.

1, 2, 5, 10, 1061, 2122, 5305

Step-4: Factors of 10620

List of positive integer factors of 10620 that divides 10610 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 59, 60, 90, 118, 177, 180, 236, 295, 354, 531, 590, 708, 885, 1062, 1180, 1770, 2124, 2655, 3540, 5310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10610 and 10620. The biggest common factor number is the GCF number.
So the greatest common factor 10610 and 10620 is 10.

Also check out the Least Common Multiple of 10610 and 10620