What is the Greatest Common Factor of 71048 and 71063?

Greatest common factor (GCF) of 71048 and 71063 is 1.

GCF(71048,71063) = 1

We will now calculate the prime factors of 71048 and 71063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71048 and 71063.

How to find the GCF of 71048 and 71063?

We will first find the prime factorization of 71048 and 71063. After we will calculate the factors of 71048 and 71063 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 71063

Prime factors of 71063 are 179, 397. Prime factorization of 71063 in exponential form is:

71063 = 179¹ × 397¹

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 71063

List of positive integer factors of 71063 that divides 71048 without a remainder.

1, 179, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71048 and 71063. The biggest common factor number is the GCF number.
So the greatest common factor 71048 and 71063 is 1.

Also check out the Least Common Multiple of 71048 and 71063