What is the Greatest Common Factor of 71038 and 71048?

Greatest common factor (GCF) of 71038 and 71048 is 2.

GCF(71038,71048) = 2

We will now calculate the prime factors of 71038 and 71048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71038 and 71048.

How to find the GCF of 71038 and 71048?

We will first find the prime factorization of 71038 and 71048. After we will calculate the factors of 71038 and 71048 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 71048

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

71048 = 2³ × 83¹ × 107¹

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 71048

List of positive integer factors of 71048 that divides 71038 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71038 and 71048. The biggest common factor number is the GCF number.
So the greatest common factor 71038 and 71048 is 2.

Also check out the Least Common Multiple of 71038 and 71048