What is the Greatest Common Factor of 10062 and 10075?

Greatest common factor (GCF) of 10062 and 10075 is 13.

GCF(10062,10075) = 13

We will now calculate the prime factors of 10062 and 10075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10062 and 10075.

How to find the GCF of 10062 and 10075?

We will first find the prime factorization of 10062 and 10075. After we will calculate the factors of 10062 and 10075 and find the biggest common factor number .

Step-1: Prime Factorization of 10062

Prime factors of 10062 are 2, 3, 13, 43. Prime factorization of 10062 in exponential form is:

10062 = 2¹ × 3² × 13¹ × 43¹

Step-2: Prime Factorization of 10075

Prime factors of 10075 are 5, 13, 31. Prime factorization of 10075 in exponential form is:

10075 = 5² × 13¹ × 31¹

Step-3: Factors of 10062

List of positive integer factors of 10062 that divides 10062 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031

Step-4: Factors of 10075

List of positive integer factors of 10075 that divides 10062 without a remainder.

1, 5, 13, 25, 31, 65, 155, 325, 403, 775, 2015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10062 and 10075. The biggest common factor number is the GCF number.
So the greatest common factor 10062 and 10075 is 13.

Also check out the Least Common Multiple of 10062 and 10075