What is the Greatest Common Factor of 87850 and 87865?

Greatest common factor (GCF) of 87850 and 87865 is 5.

GCF(87850,87865) = 5

We will now calculate the prime factors of 87850 and 87865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87850 and 87865.

How to find the GCF of 87850 and 87865?

We will first find the prime factorization of 87850 and 87865. After we will calculate the factors of 87850 and 87865 and find the biggest common factor number .

Step-1: Prime Factorization of 87850

Prime factors of 87850 are 2, 5, 7, 251. Prime factorization of 87850 in exponential form is:

87850 = 2¹ × 5² × 7¹ × 251¹

Step-2: Prime Factorization of 87865

Prime factors of 87865 are 5, 17573. Prime factorization of 87865 in exponential form is:

87865 = 5¹ × 17573¹

Step-3: Factors of 87850

List of positive integer factors of 87850 that divides 87850 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 251, 350, 502, 1255, 1757, 2510, 3514, 6275, 8785, 12550, 17570, 43925

Step-4: Factors of 87865

List of positive integer factors of 87865 that divides 87850 without a remainder.

1, 5, 17573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87850 and 87865. The biggest common factor number is the GCF number.
So the greatest common factor 87850 and 87865 is 5.

Also check out the Least Common Multiple of 87850 and 87865