What is the Greatest Common Factor of 87875 and 87885?

Greatest common factor (GCF) of 87875 and 87885 is 5.

GCF(87875,87885) = 5

We will now calculate the prime factors of 87875 and 87885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87875 and 87885.

How to find the GCF of 87875 and 87885?

We will first find the prime factorization of 87875 and 87885. After we will calculate the factors of 87875 and 87885 and find the biggest common factor number .

Step-1: Prime Factorization of 87875

Prime factors of 87875 are 5, 19, 37. Prime factorization of 87875 in exponential form is:

87875 = 5³ × 19¹ × 37¹

Step-2: Prime Factorization of 87885

Prime factors of 87885 are 3, 5, 7, 31. Prime factorization of 87885 in exponential form is:

87885 = 3⁴ × 5¹ × 7¹ × 31¹

Step-3: Factors of 87875

List of positive integer factors of 87875 that divides 87875 without a remainder.

1, 5, 19, 25, 37, 95, 125, 185, 475, 703, 925, 2375, 3515, 4625, 17575

Step-4: Factors of 87885

List of positive integer factors of 87885 that divides 87875 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 31, 35, 45, 63, 81, 93, 105, 135, 155, 189, 217, 279, 315, 405, 465, 567, 651, 837, 945, 1085, 1395, 1953, 2511, 2835, 3255, 4185, 5859, 9765, 12555, 17577, 29295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87875 and 87885. The biggest common factor number is the GCF number.
So the greatest common factor 87875 and 87885 is 5.

Also check out the Least Common Multiple of 87875 and 87885