What is the Greatest Common Factor of 71048 and 71058?

Greatest common factor (GCF) of 71048 and 71058 is 2.

GCF(71048,71058) = 2

We will now calculate the prime factors of 71048 and 71058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71048 and 71058.

How to find the GCF of 71048 and 71058?

We will first find the prime factorization of 71048 and 71058. After we will calculate the factors of 71048 and 71058 and find the biggest common factor number .

Step-1: Prime Factorization of 71048

Prime factors of 71048 are 2, 83, 107. Prime factorization of 71048 in exponential form is:

71048 = 2³ × 83¹ × 107¹

Step-2: Prime Factorization of 71058

Prime factors of 71058 are 2, 3, 13, 911. Prime factorization of 71058 in exponential form is:

71058 = 2¹ × 3¹ × 13¹ × 911¹

Step-3: Factors of 71048

List of positive integer factors of 71048 that divides 71048 without a remainder.

1, 2, 4, 8, 83, 107, 166, 214, 332, 428, 664, 856, 8881, 17762, 35524

Step-4: Factors of 71058

List of positive integer factors of 71058 that divides 71048 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 911, 1822, 2733, 5466, 11843, 23686, 35529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71048 and 71058. The biggest common factor number is the GCF number.
So the greatest common factor 71048 and 71058 is 2.

Also check out the Least Common Multiple of 71048 and 71058