What is the Greatest Common Factor of 71500 and 71510?

Greatest common factor (GCF) of 71500 and 71510 is 10.

GCF(71500,71510) = 10

We will now calculate the prime factors of 71500 and 71510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71500 and 71510.

How to find the GCF of 71500 and 71510?

We will first find the prime factorization of 71500 and 71510. After we will calculate the factors of 71500 and 71510 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 71510

Prime factors of 71510 are 2, 5, 7151. Prime factorization of 71510 in exponential form is:

71510 = 2¹ × 5¹ × 7151¹

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 71510

List of positive integer factors of 71510 that divides 71500 without a remainder.

1, 2, 5, 10, 7151, 14302, 35755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71500 and 71510. The biggest common factor number is the GCF number.
So the greatest common factor 71500 and 71510 is 10.

Also check out the Least Common Multiple of 71500 and 71510