What is the Greatest Common Factor of 87560 and 87578?

Greatest common factor (GCF) of 87560 and 87578 is 2.

GCF(87560,87578) = 2

We will now calculate the prime factors of 87560 and 87578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87560 and 87578.

How to find the GCF of 87560 and 87578?

We will first find the prime factorization of 87560 and 87578. After we will calculate the factors of 87560 and 87578 and find the biggest common factor number .

Step-1: Prime Factorization of 87560

Prime factors of 87560 are 2, 5, 11, 199. Prime factorization of 87560 in exponential form is:

87560 = 2³ × 5¹ × 11¹ × 199¹

Step-2: Prime Factorization of 87578

Prime factors of 87578 are 2, 43789. Prime factorization of 87578 in exponential form is:

87578 = 2¹ × 43789¹

Step-3: Factors of 87560

List of positive integer factors of 87560 that divides 87560 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 199, 220, 398, 440, 796, 995, 1592, 1990, 2189, 3980, 4378, 7960, 8756, 10945, 17512, 21890, 43780

Step-4: Factors of 87578

List of positive integer factors of 87578 that divides 87560 without a remainder.

1, 2, 43789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87560 and 87578. The biggest common factor number is the GCF number.
So the greatest common factor 87560 and 87578 is 2.

Also check out the Least Common Multiple of 87560 and 87578