What is the Greatest Common Factor of 87140 and 87146?

Greatest common factor (GCF) of 87140 and 87146 is 2.

GCF(87140,87146) = 2

We will now calculate the prime factors of 87140 and 87146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87140 and 87146.

How to find the GCF of 87140 and 87146?

We will first find the prime factorization of 87140 and 87146. After we will calculate the factors of 87140 and 87146 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87146

Prime factors of 87146 are 2, 43573. Prime factorization of 87146 in exponential form is:

87146 = 2¹ × 43573¹

Step-3: Factors of 87140

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

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

Step-4: Factors of 87146

List of positive integer factors of 87146 that divides 87140 without a remainder.

1, 2, 43573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87140 and 87146. The biggest common factor number is the GCF number.
So the greatest common factor 87140 and 87146 is 2.

Also check out the Least Common Multiple of 87140 and 87146