What is the Greatest Common Factor of 10010 and 10030?

Greatest common factor (GCF) of 10010 and 10030 is 10.

GCF(10010,10030) = 10

We will now calculate the prime factors of 10010 and 10030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10010 and 10030.

How to find the GCF of 10010 and 10030?

We will first find the prime factorization of 10010 and 10030. After we will calculate the factors of 10010 and 10030 and find the biggest common factor number .

Step-1: Prime Factorization of 10010

Prime factors of 10010 are 2, 5, 7, 11, 13. Prime factorization of 10010 in exponential form is:

10010 = 2¹ × 5¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 10030

Prime factors of 10030 are 2, 5, 17, 59. Prime factorization of 10030 in exponential form is:

10030 = 2¹ × 5¹ × 17¹ × 59¹

Step-3: Factors of 10010

List of positive integer factors of 10010 that divides 10010 without a remainder.

1, 2, 5, 7, 10, 11, 13, 14, 22, 26, 35, 55, 65, 70, 77, 91, 110, 130, 143, 154, 182, 286, 385, 455, 715, 770, 910, 1001, 1430, 2002, 5005

Step-4: Factors of 10030

List of positive integer factors of 10030 that divides 10010 without a remainder.

1, 2, 5, 10, 17, 34, 59, 85, 118, 170, 295, 590, 1003, 2006, 5015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10010 and 10030. The biggest common factor number is the GCF number.
So the greatest common factor 10010 and 10030 is 10.

Also check out the Least Common Multiple of 10010 and 10030