What is the Greatest Common Factor of 10630 and 10650?

Greatest common factor (GCF) of 10630 and 10650 is 10.

GCF(10630,10650) = 10

We will now calculate the prime factors of 10630 and 10650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10630 and 10650.

How to find the GCF of 10630 and 10650?

We will first find the prime factorization of 10630 and 10650. After we will calculate the factors of 10630 and 10650 and find the biggest common factor number .

Step-1: Prime Factorization of 10630

Prime factors of 10630 are 2, 5, 1063. Prime factorization of 10630 in exponential form is:

10630 = 2¹ × 5¹ × 1063¹

Step-2: Prime Factorization of 10650

Prime factors of 10650 are 2, 3, 5, 71. Prime factorization of 10650 in exponential form is:

10650 = 2¹ × 3¹ × 5² × 71¹

Step-3: Factors of 10630

List of positive integer factors of 10630 that divides 10630 without a remainder.

1, 2, 5, 10, 1063, 2126, 5315

Step-4: Factors of 10650

List of positive integer factors of 10650 that divides 10630 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 71, 75, 142, 150, 213, 355, 426, 710, 1065, 1775, 2130, 3550, 5325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10630 and 10650. The biggest common factor number is the GCF number.
So the greatest common factor 10630 and 10650 is 10.

Also check out the Least Common Multiple of 10630 and 10650