What is the Greatest Common Factor of 10038 and 10048?

Greatest common factor (GCF) of 10038 and 10048 is 2.

GCF(10038,10048) = 2

We will now calculate the prime factors of 10038 and 10048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10038 and 10048.

How to find the GCF of 10038 and 10048?

We will first find the prime factorization of 10038 and 10048. After we will calculate the factors of 10038 and 10048 and find the biggest common factor number .

Step-1: Prime Factorization of 10038

Prime factors of 10038 are 2, 3, 7, 239. Prime factorization of 10038 in exponential form is:

10038 = 2¹ × 3¹ × 7¹ × 239¹

Step-2: Prime Factorization of 10048

Prime factors of 10048 are 2, 157. Prime factorization of 10048 in exponential form is:

10048 = 2⁶ × 157¹

Step-3: Factors of 10038

List of positive integer factors of 10038 that divides 10038 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 239, 478, 717, 1434, 1673, 3346, 5019

Step-4: Factors of 10048

List of positive integer factors of 10048 that divides 10038 without a remainder.

1, 2, 4, 8, 16, 32, 64, 157, 314, 628, 1256, 2512, 5024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10038 and 10048. The biggest common factor number is the GCF number.
So the greatest common factor 10038 and 10048 is 2.

Also check out the Least Common Multiple of 10038 and 10048