What is the Greatest Common Factor of 87712 and 87720?

Greatest common factor (GCF) of 87712 and 87720 is 8.

GCF(87712,87720) = 8

We will now calculate the prime factors of 87712 and 87720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87712 and 87720.

How to find the GCF of 87712 and 87720?

We will first find the prime factorization of 87712 and 87720. After we will calculate the factors of 87712 and 87720 and find the biggest common factor number .

Step-1: Prime Factorization of 87712

Prime factors of 87712 are 2, 2741. Prime factorization of 87712 in exponential form is:

87712 = 2⁵ × 2741¹

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 87712

List of positive integer factors of 87712 that divides 87712 without a remainder.

1, 2, 4, 8, 16, 32, 2741, 5482, 10964, 21928, 43856

Step-4: Factors of 87720

List of positive integer factors of 87720 that divides 87712 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 87712 and 87720. The biggest common factor number is the GCF number.
So the greatest common factor 87712 and 87720 is 8.

Also check out the Least Common Multiple of 87712 and 87720