What is the Greatest Common Factor of 71500 and 71513?

Greatest common factor (GCF) of 71500 and 71513 is 13.

GCF(71500,71513) = 13

We will now calculate the prime factors of 71500 and 71513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71500 and 71513.

How to find the GCF of 71500 and 71513?

We will first find the prime factorization of 71500 and 71513. After we will calculate the factors of 71500 and 71513 and find the biggest common factor number .

Step-1: Prime Factorization of 71500

Prime factors of 71500 are 2, 5, 11, 13. Prime factorization of 71500 in exponential form is:

71500 = 2² × 5³ × 11¹ × 13¹

Step-2: Prime Factorization of 71513

Prime factors of 71513 are 13, 5501. Prime factorization of 71513 in exponential form is:

71513 = 13¹ × 5501¹

Step-3: Factors of 71500

List of positive integer factors of 71500 that divides 71500 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 25, 26, 44, 50, 52, 55, 65, 100, 110, 125, 130, 143, 220, 250, 260, 275, 286, 325, 500, 550, 572, 650, 715, 1100, 1300, 1375, 1430, 1625, 2750, 2860, 3250, 3575, 5500, 6500, 7150, 14300, 17875, 35750

Step-4: Factors of 71513

List of positive integer factors of 71513 that divides 71500 without a remainder.

1, 13, 5501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71500 and 71513. The biggest common factor number is the GCF number.
So the greatest common factor 71500 and 71513 is 13.

Also check out the Least Common Multiple of 71500 and 71513