What is the Greatest Common Factor of 10024 and 10030?

Greatest common factor (GCF) of 10024 and 10030 is 2.

GCF(10024,10030) = 2

We will now calculate the prime factors of 10024 and 10030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10024 and 10030.

How to find the GCF of 10024 and 10030?

We will first find the prime factorization of 10024 and 10030. After we will calculate the factors of 10024 and 10030 and find the biggest common factor number .

Step-1: Prime Factorization of 10024

Prime factors of 10024 are 2, 7, 179. Prime factorization of 10024 in exponential form is:

10024 = 2³ × 7¹ × 179¹

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 10024

List of positive integer factors of 10024 that divides 10024 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 179, 358, 716, 1253, 1432, 2506, 5012

Step-4: Factors of 10030

List of positive integer factors of 10030 that divides 10024 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 10024 and 10030. The biggest common factor number is the GCF number.
So the greatest common factor 10024 and 10030 is 2.

Also check out the Least Common Multiple of 10024 and 10030