What is the Greatest Common Factor of 10049 and 10062?

Greatest common factor (GCF) of 10049 and 10062 is 13.

GCF(10049,10062) = 13

We will now calculate the prime factors of 10049 and 10062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10049 and 10062.

How to find the GCF of 10049 and 10062?

We will first find the prime factorization of 10049 and 10062. After we will calculate the factors of 10049 and 10062 and find the biggest common factor number .

Step-1: Prime Factorization of 10049

Prime factors of 10049 are 13, 773. Prime factorization of 10049 in exponential form is:

10049 = 13¹ × 773¹

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 10049

List of positive integer factors of 10049 that divides 10049 without a remainder.

1, 13, 773

Step-4: Factors of 10062

List of positive integer factors of 10062 that divides 10049 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 10049 and 10062. The biggest common factor number is the GCF number.
So the greatest common factor 10049 and 10062 is 13.

Also check out the Least Common Multiple of 10049 and 10062