What is the Greatest Common Factor of 87130 and 87140?

Greatest common factor (GCF) of 87130 and 87140 is 10.

GCF(87130,87140) = 10

We will now calculate the prime factors of 87130 and 87140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87130 and 87140.

How to find the GCF of 87130 and 87140?

We will first find the prime factorization of 87130 and 87140. After we will calculate the factors of 87130 and 87140 and find the biggest common factor number .

Step-1: Prime Factorization of 87130

Prime factors of 87130 are 2, 5, 8713. Prime factorization of 87130 in exponential form is:

87130 = 2¹ × 5¹ × 8713¹

Step-2: Prime Factorization of 87140

Prime factors of 87140 are 2, 5, 4357. Prime factorization of 87140 in exponential form is:

87140 = 2² × 5¹ × 4357¹

Step-3: Factors of 87130

List of positive integer factors of 87130 that divides 87130 without a remainder.

1, 2, 5, 10, 8713, 17426, 43565

Step-4: Factors of 87140

List of positive integer factors of 87140 that divides 87130 without a remainder.

1, 2, 4, 5, 10, 20, 4357, 8714, 17428, 21785, 43570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87130 and 87140. The biggest common factor number is the GCF number.
So the greatest common factor 87130 and 87140 is 10.

Also check out the Least Common Multiple of 87130 and 87140