What is the Greatest Common Factor of 71282 and 71300?

Greatest common factor (GCF) of 71282 and 71300 is 2.

GCF(71282,71300) = 2

We will now calculate the prime factors of 71282 and 71300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71282 and 71300.

How to find the GCF of 71282 and 71300?

We will first find the prime factorization of 71282 and 71300. After we will calculate the factors of 71282 and 71300 and find the biggest common factor number .

Step-1: Prime Factorization of 71282

Prime factors of 71282 are 2, 29, 1229. Prime factorization of 71282 in exponential form is:

71282 = 2¹ × 29¹ × 1229¹

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 71282

List of positive integer factors of 71282 that divides 71282 without a remainder.

1, 2, 29, 58, 1229, 2458, 35641

Step-4: Factors of 71300

List of positive integer factors of 71300 that divides 71282 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 71282 and 71300. The biggest common factor number is the GCF number.
So the greatest common factor 71282 and 71300 is 2.

Also check out the Least Common Multiple of 71282 and 71300