What is the Greatest Common Factor of 87640 and 87655?

Greatest common factor (GCF) of 87640 and 87655 is 5.

GCF(87640,87655) = 5

We will now calculate the prime factors of 87640 and 87655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87640 and 87655.

How to find the GCF of 87640 and 87655?

We will first find the prime factorization of 87640 and 87655. After we will calculate the factors of 87640 and 87655 and find the biggest common factor number .

Step-1: Prime Factorization of 87640

Prime factors of 87640 are 2, 5, 7, 313. Prime factorization of 87640 in exponential form is:

87640 = 2³ × 5¹ × 7¹ × 313¹

Step-2: Prime Factorization of 87655

Prime factors of 87655 are 5, 47, 373. Prime factorization of 87655 in exponential form is:

87655 = 5¹ × 47¹ × 373¹

Step-3: Factors of 87640

List of positive integer factors of 87640 that divides 87640 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 313, 626, 1252, 1565, 2191, 2504, 3130, 4382, 6260, 8764, 10955, 12520, 17528, 21910, 43820

Step-4: Factors of 87655

List of positive integer factors of 87655 that divides 87640 without a remainder.

1, 5, 47, 235, 373, 1865, 17531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87640 and 87655. The biggest common factor number is the GCF number.
So the greatest common factor 87640 and 87655 is 5.

Also check out the Least Common Multiple of 87640 and 87655