What is the Greatest Common Factor of 10050 and 10062?

Greatest common factor (GCF) of 10050 and 10062 is 6.

GCF(10050,10062) = 6

We will now calculate the prime factors of 10050 and 10062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10050 and 10062.

How to find the GCF of 10050 and 10062?

We will first find the prime factorization of 10050 and 10062. After we will calculate the factors of 10050 and 10062 and find the biggest common factor number .

Step-1: Prime Factorization of 10050

Prime factors of 10050 are 2, 3, 5, 67. Prime factorization of 10050 in exponential form is:

10050 = 2¹ × 3¹ × 5² × 67¹

Step-2: 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-3: Factors of 10050

List of positive integer factors of 10050 that divides 10050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 67, 75, 134, 150, 201, 335, 402, 670, 1005, 1675, 2010, 3350, 5025

Step-4: Factors of 10062

List of positive integer factors of 10062 that divides 10050 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10050 and 10062. The biggest common factor number is the GCF number.
So the greatest common factor 10050 and 10062 is 6.

Also check out the Least Common Multiple of 10050 and 10062