What is the Greatest Common Factor of 71038 and 71049?

Greatest common factor (GCF) of 71038 and 71049 is 11.

GCF(71038,71049) = 11

We will now calculate the prime factors of 71038 and 71049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71038 and 71049.

How to find the GCF of 71038 and 71049?

We will first find the prime factorization of 71038 and 71049. After we will calculate the factors of 71038 and 71049 and find the biggest common factor number .

Step-1: Prime Factorization of 71038

Prime factors of 71038 are 2, 11, 3229. Prime factorization of 71038 in exponential form is:

71038 = 2¹ × 11¹ × 3229¹

Step-2: Prime Factorization of 71049

Prime factors of 71049 are 3, 11, 2153. Prime factorization of 71049 in exponential form is:

71049 = 3¹ × 11¹ × 2153¹

Step-3: Factors of 71038

List of positive integer factors of 71038 that divides 71038 without a remainder.

1, 2, 11, 22, 3229, 6458, 35519

Step-4: Factors of 71049

List of positive integer factors of 71049 that divides 71038 without a remainder.

1, 3, 11, 33, 2153, 6459, 23683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71038 and 71049. The biggest common factor number is the GCF number.
So the greatest common factor 71038 and 71049 is 11.

Also check out the Least Common Multiple of 71038 and 71049