What is the Greatest Common Factor of 71300 and 71315?

Greatest common factor (GCF) of 71300 and 71315 is 5.

GCF(71300,71315) = 5

We will now calculate the prime factors of 71300 and 71315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71300 and 71315.

How to find the GCF of 71300 and 71315?

We will first find the prime factorization of 71300 and 71315. After we will calculate the factors of 71300 and 71315 and find the biggest common factor number .

Step-1: Prime Factorization of 71300

Prime factors of 71300 are 2, 5, 23, 31. Prime factorization of 71300 in exponential form is:

71300 = 2² × 5² × 23¹ × 31¹

Step-2: Prime Factorization of 71315

Prime factors of 71315 are 5, 17, 839. Prime factorization of 71315 in exponential form is:

71315 = 5¹ × 17¹ × 839¹

Step-3: Factors of 71300

List of positive integer factors of 71300 that divides 71300 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 31, 46, 50, 62, 92, 100, 115, 124, 155, 230, 310, 460, 575, 620, 713, 775, 1150, 1426, 1550, 2300, 2852, 3100, 3565, 7130, 14260, 17825, 35650

Step-4: Factors of 71315

List of positive integer factors of 71315 that divides 71300 without a remainder.

1, 5, 17, 85, 839, 4195, 14263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71300 and 71315. The biggest common factor number is the GCF number.
So the greatest common factor 71300 and 71315 is 5.

Also check out the Least Common Multiple of 71300 and 71315