What is the Greatest Common Factor of 87705 and 87720?

Greatest common factor (GCF) of 87705 and 87720 is 15.

GCF(87705,87720) = 15

We will now calculate the prime factors of 87705 and 87720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87705 and 87720.

How to find the GCF of 87705 and 87720?

We will first find the prime factorization of 87705 and 87720. After we will calculate the factors of 87705 and 87720 and find the biggest common factor number .

Step-1: Prime Factorization of 87705

Prime factors of 87705 are 3, 5, 1949. Prime factorization of 87705 in exponential form is:

87705 = 3² × 5¹ × 1949¹

Step-2: Prime Factorization of 87720

Prime factors of 87720 are 2, 3, 5, 17, 43. Prime factorization of 87720 in exponential form is:

87720 = 2³ × 3¹ × 5¹ × 17¹ × 43¹

Step-3: Factors of 87705

List of positive integer factors of 87705 that divides 87705 without a remainder.

1, 3, 5, 9, 15, 45, 1949, 5847, 9745, 17541, 29235

Step-4: Factors of 87720

List of positive integer factors of 87720 that divides 87705 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 43, 51, 60, 68, 85, 86, 102, 120, 129, 136, 170, 172, 204, 215, 255, 258, 340, 344, 408, 430, 510, 516, 645, 680, 731, 860, 1020, 1032, 1290, 1462, 1720, 2040, 2193, 2580, 2924, 3655, 4386, 5160, 5848, 7310, 8772, 10965, 14620, 17544, 21930, 29240, 43860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87705 and 87720. The biggest common factor number is the GCF number.
So the greatest common factor 87705 and 87720 is 15.

Also check out the Least Common Multiple of 87705 and 87720