What is the Greatest Common Factor of 71048 and 71055?

Greatest common factor (GCF) of 71048 and 71055 is 1.

GCF(71048,71055) = 1

We will now calculate the prime factors of 71048 and 71055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71048 and 71055.

How to find the GCF of 71048 and 71055?

We will first find the prime factorization of 71048 and 71055. After we will calculate the factors of 71048 and 71055 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 71055

Prime factors of 71055 are 3, 5, 1579. Prime factorization of 71055 in exponential form is:

71055 = 3² × 5¹ × 1579¹

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 71055

List of positive integer factors of 71055 that divides 71048 without a remainder.

1, 3, 5, 9, 15, 45, 1579, 4737, 7895, 14211, 23685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71048 and 71055. The biggest common factor number is the GCF number.
So the greatest common factor 71048 and 71055 is 1.

Also check out the Least Common Multiple of 71048 and 71055