What is the Greatest Common Factor of 71480 and 71500?

Greatest common factor (GCF) of 71480 and 71500 is 20.

GCF(71480,71500) = 20

We will now calculate the prime factors of 71480 and 71500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71480 and 71500.

How to find the GCF of 71480 and 71500?

We will first find the prime factorization of 71480 and 71500. After we will calculate the factors of 71480 and 71500 and find the biggest common factor number .

Step-1: Prime Factorization of 71480

Prime factors of 71480 are 2, 5, 1787. Prime factorization of 71480 in exponential form is:

71480 = 2³ × 5¹ × 1787¹

Step-2: 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-3: Factors of 71480

List of positive integer factors of 71480 that divides 71480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1787, 3574, 7148, 8935, 14296, 17870, 35740

Step-4: Factors of 71500

List of positive integer factors of 71500 that divides 71480 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71480 and 71500. The biggest common factor number is the GCF number.
So the greatest common factor 71480 and 71500 is 20.

Also check out the Least Common Multiple of 71480 and 71500