What is the Greatest Common Factor of 13048 and 13058?

Greatest common factor (GCF) of 13048 and 13058 is 2.

GCF(13048,13058) = 2

We will now calculate the prime factors of 13048 and 13058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13048 and 13058.

How to find the GCF of 13048 and 13058?

We will first find the prime factorization of 13048 and 13058. After we will calculate the factors of 13048 and 13058 and find the biggest common factor number .

Step-1: Prime Factorization of 13048

Prime factors of 13048 are 2, 7, 233. Prime factorization of 13048 in exponential form is:

13048 = 2³ × 7¹ × 233¹

Step-2: Prime Factorization of 13058

Prime factors of 13058 are 2, 6529. Prime factorization of 13058 in exponential form is:

13058 = 2¹ × 6529¹

Step-3: Factors of 13048

List of positive integer factors of 13048 that divides 13048 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 233, 466, 932, 1631, 1864, 3262, 6524

Step-4: Factors of 13058

List of positive integer factors of 13058 that divides 13048 without a remainder.

1, 2, 6529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13048 and 13058. The biggest common factor number is the GCF number.
So the greatest common factor 13048 and 13058 is 2.

Also check out the Least Common Multiple of 13048 and 13058