What is the Greatest Common Factor of 87890 and 87895?

Greatest common factor (GCF) of 87890 and 87895 is 5.

GCF(87890,87895) = 5

We will now calculate the prime factors of 87890 and 87895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87890 and 87895.

How to find the GCF of 87890 and 87895?

We will first find the prime factorization of 87890 and 87895. After we will calculate the factors of 87890 and 87895 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87895

Prime factors of 87895 are 5, 17579. Prime factorization of 87895 in exponential form is:

87895 = 5¹ × 17579¹

Step-3: Factors of 87890

List of positive integer factors of 87890 that divides 87890 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

Step-4: Factors of 87895

List of positive integer factors of 87895 that divides 87890 without a remainder.

1, 5, 17579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87890 and 87895. The biggest common factor number is the GCF number.
So the greatest common factor 87890 and 87895 is 5.

Also check out the Least Common Multiple of 87890 and 87895