What is the Greatest Common Factor of 71290 and 71300?

Greatest common factor (GCF) of 71290 and 71300 is 10.

GCF(71290,71300) = 10

We will now calculate the prime factors of 71290 and 71300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71290 and 71300.

How to find the GCF of 71290 and 71300?

We will first find the prime factorization of 71290 and 71300. After we will calculate the factors of 71290 and 71300 and find the biggest common factor number .

Step-1: Prime Factorization of 71290

Prime factors of 71290 are 2, 5, 7129. Prime factorization of 71290 in exponential form is:

71290 = 2¹ × 5¹ × 7129¹

Step-2: 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-3: Factors of 71290

List of positive integer factors of 71290 that divides 71290 without a remainder.

1, 2, 5, 10, 7129, 14258, 35645

Step-4: Factors of 71300

List of positive integer factors of 71300 that divides 71290 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71290 and 71300. The biggest common factor number is the GCF number.
So the greatest common factor 71290 and 71300 is 10.

Also check out the Least Common Multiple of 71290 and 71300