What is the Greatest Common Factor of 71500 and 71512?

Greatest common factor (GCF) of 71500 and 71512 is 4.

GCF(71500,71512) = 4

We will now calculate the prime factors of 71500 and 71512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71500 and 71512.

How to find the GCF of 71500 and 71512?

We will first find the prime factorization of 71500 and 71512. After we will calculate the factors of 71500 and 71512 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 71512

Prime factors of 71512 are 2, 7, 1277. Prime factorization of 71512 in exponential form is:

71512 = 2³ × 7¹ × 1277¹

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 71512

List of positive integer factors of 71512 that divides 71500 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1277, 2554, 5108, 8939, 10216, 17878, 35756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71500 and 71512. The biggest common factor number is the GCF number.
So the greatest common factor 71500 and 71512 is 4.

Also check out the Least Common Multiple of 71500 and 71512