What is the Greatest Common Factor of 71300 and 71310?

Greatest common factor (GCF) of 71300 and 71310 is 10.

GCF(71300,71310) = 10

We will now calculate the prime factors of 71300 and 71310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71300 and 71310.

How to find the GCF of 71300 and 71310?

We will first find the prime factorization of 71300 and 71310. After we will calculate the factors of 71300 and 71310 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 71310

Prime factors of 71310 are 2, 3, 5, 2377. Prime factorization of 71310 in exponential form is:

71310 = 2¹ × 3¹ × 5¹ × 2377¹

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 71310

List of positive integer factors of 71310 that divides 71300 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2377, 4754, 7131, 11885, 14262, 23770, 35655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71300 and 71310. The biggest common factor number is the GCF number.
So the greatest common factor 71300 and 71310 is 10.

Also check out the Least Common Multiple of 71300 and 71310