What is the Greatest Common Factor of 87860 and 87870?

Greatest common factor (GCF) of 87860 and 87870 is 10.

GCF(87860,87870) = 10

We will now calculate the prime factors of 87860 and 87870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87860 and 87870.

How to find the GCF of 87860 and 87870?

We will first find the prime factorization of 87860 and 87870. After we will calculate the factors of 87860 and 87870 and find the biggest common factor number .

Step-1: Prime Factorization of 87860

Prime factors of 87860 are 2, 5, 23, 191. Prime factorization of 87860 in exponential form is:

87860 = 2² × 5¹ × 23¹ × 191¹

Step-2: Prime Factorization of 87870

Prime factors of 87870 are 2, 3, 5, 29, 101. Prime factorization of 87870 in exponential form is:

87870 = 2¹ × 3¹ × 5¹ × 29¹ × 101¹

Step-3: Factors of 87860

List of positive integer factors of 87860 that divides 87860 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 191, 230, 382, 460, 764, 955, 1910, 3820, 4393, 8786, 17572, 21965, 43930

Step-4: Factors of 87870

List of positive integer factors of 87870 that divides 87860 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 101, 145, 174, 202, 290, 303, 435, 505, 606, 870, 1010, 1515, 2929, 3030, 5858, 8787, 14645, 17574, 29290, 43935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87860 and 87870. The biggest common factor number is the GCF number.
So the greatest common factor 87860 and 87870 is 10.

Also check out the Least Common Multiple of 87860 and 87870