What is the Greatest Common Factor of 71840 and 71855?

Greatest common factor (GCF) of 71840 and 71855 is 5.

GCF(71840,71855) = 5

We will now calculate the prime factors of 71840 and 71855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71840 and 71855.

How to find the GCF of 71840 and 71855?

We will first find the prime factorization of 71840 and 71855. After we will calculate the factors of 71840 and 71855 and find the biggest common factor number .

Step-1: Prime Factorization of 71840

Prime factors of 71840 are 2, 5, 449. Prime factorization of 71840 in exponential form is:

71840 = 2⁵ × 5¹ × 449¹

Step-2: Prime Factorization of 71855

Prime factors of 71855 are 5, 7, 2053. Prime factorization of 71855 in exponential form is:

71855 = 5¹ × 7¹ × 2053¹

Step-3: Factors of 71840

List of positive integer factors of 71840 that divides 71840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 449, 898, 1796, 2245, 3592, 4490, 7184, 8980, 14368, 17960, 35920

Step-4: Factors of 71855

List of positive integer factors of 71855 that divides 71840 without a remainder.

1, 5, 7, 35, 2053, 10265, 14371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71840 and 71855. The biggest common factor number is the GCF number.
So the greatest common factor 71840 and 71855 is 5.

Also check out the Least Common Multiple of 71840 and 71855