What is the Greatest Common Factor of 87708 and 87720?

Greatest common factor (GCF) of 87708 and 87720 is 12.

GCF(87708,87720) = 12

We will now calculate the prime factors of 87708 and 87720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87708 and 87720.

How to find the GCF of 87708 and 87720?

We will first find the prime factorization of 87708 and 87720. After we will calculate the factors of 87708 and 87720 and find the biggest common factor number .

Step-1: Prime Factorization of 87708

Prime factors of 87708 are 2, 3, 7309. Prime factorization of 87708 in exponential form is:

87708 = 2² × 3¹ × 7309¹

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 87708

List of positive integer factors of 87708 that divides 87708 without a remainder.

1, 2, 3, 4, 6, 12, 7309, 14618, 21927, 29236, 43854

Step-4: Factors of 87720

List of positive integer factors of 87720 that divides 87708 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 87708 and 87720. The biggest common factor number is the GCF number.
So the greatest common factor 87708 and 87720 is 12.

Also check out the Least Common Multiple of 87708 and 87720