What is the Greatest Common Factor of 87910 and 87915?

Greatest common factor (GCF) of 87910 and 87915 is 5.

GCF(87910,87915) = 5

We will now calculate the prime factors of 87910 and 87915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87910 and 87915.

How to find the GCF of 87910 and 87915?

We will first find the prime factorization of 87910 and 87915. After we will calculate the factors of 87910 and 87915 and find the biggest common factor number .

Step-1: Prime Factorization of 87910

Prime factors of 87910 are 2, 5, 59, 149. Prime factorization of 87910 in exponential form is:

87910 = 2¹ × 5¹ × 59¹ × 149¹

Step-2: Prime Factorization of 87915

Prime factors of 87915 are 3, 5, 5861. Prime factorization of 87915 in exponential form is:

87915 = 3¹ × 5¹ × 5861¹

Step-3: Factors of 87910

List of positive integer factors of 87910 that divides 87910 without a remainder.

1, 2, 5, 10, 59, 118, 149, 295, 298, 590, 745, 1490, 8791, 17582, 43955

Step-4: Factors of 87915

List of positive integer factors of 87915 that divides 87910 without a remainder.

1, 3, 5, 15, 5861, 17583, 29305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87910 and 87915. The biggest common factor number is the GCF number.
So the greatest common factor 87910 and 87915 is 5.

Also check out the Least Common Multiple of 87910 and 87915