What is the Greatest Common Factor of 87880 and 87890?

Greatest common factor (GCF) of 87880 and 87890 is 10.

GCF(87880,87890) = 10

We will now calculate the prime factors of 87880 and 87890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87880 and 87890.

How to find the GCF of 87880 and 87890?

We will first find the prime factorization of 87880 and 87890. After we will calculate the factors of 87880 and 87890 and find the biggest common factor number .

Step-1: Prime Factorization of 87880

Prime factors of 87880 are 2, 5, 13. Prime factorization of 87880 in exponential form is:

87880 = 2³ × 5¹ × 13³

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 87880

List of positive integer factors of 87880 that divides 87880 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 2197, 3380, 4394, 6760, 8788, 10985, 17576, 21970, 43940

Step-4: Factors of 87890

List of positive integer factors of 87890 that divides 87880 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 87880 and 87890. The biggest common factor number is the GCF number.
So the greatest common factor 87880 and 87890 is 10.

Also check out the Least Common Multiple of 87880 and 87890