What is the Greatest Common Factor of 87885 and 87890?

Greatest common factor (GCF) of 87885 and 87890 is 5.

GCF(87885,87890) = 5

We will now calculate the prime factors of 87885 and 87890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87885 and 87890.

How to find the GCF of 87885 and 87890?

We will first find the prime factorization of 87885 and 87890. After we will calculate the factors of 87885 and 87890 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87890

Prime factors of 87890 are 2, 5, 11, 17, 47. Prime factorization of 87890 in exponential form is:

87890 = 2¹ × 5¹ × 11¹ × 17¹ × 47¹

Step-3: Factors of 87885

List of positive integer factors of 87885 that divides 87885 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

Step-4: Factors of 87890

List of positive integer factors of 87890 that divides 87885 without a remainder.

1, 2, 5, 10, 11, 17, 22, 34, 47, 55, 85, 94, 110, 170, 187, 235, 374, 470, 517, 799, 935, 1034, 1598, 1870, 2585, 3995, 5170, 7990, 8789, 17578, 43945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87885 and 87890. The biggest common factor number is the GCF number.
So the greatest common factor 87885 and 87890 is 5.

Also check out the Least Common Multiple of 87885 and 87890