What is the Greatest Common Factor of 87720 and 87728?

Greatest common factor (GCF) of 87720 and 87728 is 8.

GCF(87720,87728) = 8

We will now calculate the prime factors of 87720 and 87728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87720 and 87728.

How to find the GCF of 87720 and 87728?

We will first find the prime factorization of 87720 and 87728. After we will calculate the factors of 87720 and 87728 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 87728

Prime factors of 87728 are 2, 5483. Prime factorization of 87728 in exponential form is:

87728 = 2⁴ × 5483¹

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 87728

List of positive integer factors of 87728 that divides 87720 without a remainder.

1, 2, 4, 8, 16, 5483, 10966, 21932, 43864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87720 and 87728. The biggest common factor number is the GCF number.
So the greatest common factor 87720 and 87728 is 8.

Also check out the Least Common Multiple of 87720 and 87728