What is the Greatest Common Factor of 87720 and 87737?

Greatest common factor (GCF) of 87720 and 87737 is 17.

GCF(87720,87737) = 17

We will now calculate the prime factors of 87720 and 87737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87720 and 87737.

How to find the GCF of 87720 and 87737?

We will first find the prime factorization of 87720 and 87737. After we will calculate the factors of 87720 and 87737 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 87737

Prime factors of 87737 are 13, 17, 397. Prime factorization of 87737 in exponential form is:

87737 = 13¹ × 17¹ × 397¹

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 87737

List of positive integer factors of 87737 that divides 87720 without a remainder.

1, 13, 17, 221, 397, 5161, 6749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87720 and 87737. The biggest common factor number is the GCF number.
So the greatest common factor 87720 and 87737 is 17.

Also check out the Least Common Multiple of 87720 and 87737