What is the Greatest Common Factor of 87720 and 87729?

Greatest common factor (GCF) of 87720 and 87729 is 3.

GCF(87720,87729) = 3

We will now calculate the prime factors of 87720 and 87729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87720 and 87729.

How to find the GCF of 87720 and 87729?

We will first find the prime factorization of 87720 and 87729. After we will calculate the factors of 87720 and 87729 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87729

Prime factors of 87729 are 3, 29243. Prime factorization of 87729 in exponential form is:

87729 = 3¹ × 29243¹

Step-3: Factors of 87720

List of positive integer factors of 87720 that divides 87720 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

Step-4: Factors of 87729

List of positive integer factors of 87729 that divides 87720 without a remainder.

1, 3, 29243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87720 and 87729. The biggest common factor number is the GCF number.
So the greatest common factor 87720 and 87729 is 3.

Also check out the Least Common Multiple of 87720 and 87729