What is the Greatest Common Factor of 87830 and 87844?

Greatest common factor (GCF) of 87830 and 87844 is 2.

GCF(87830,87844) = 2

We will now calculate the prime factors of 87830 and 87844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87830 and 87844.

How to find the GCF of 87830 and 87844?

We will first find the prime factorization of 87830 and 87844. After we will calculate the factors of 87830 and 87844 and find the biggest common factor number .

Step-1: Prime Factorization of 87830

Prime factors of 87830 are 2, 5, 8783. Prime factorization of 87830 in exponential form is:

87830 = 2¹ × 5¹ × 8783¹

Step-2: Prime Factorization of 87844

Prime factors of 87844 are 2, 21961. Prime factorization of 87844 in exponential form is:

87844 = 2² × 21961¹

Step-3: Factors of 87830

List of positive integer factors of 87830 that divides 87830 without a remainder.

1, 2, 5, 10, 8783, 17566, 43915

Step-4: Factors of 87844

List of positive integer factors of 87844 that divides 87830 without a remainder.

1, 2, 4, 21961, 43922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87830 and 87844. The biggest common factor number is the GCF number.
So the greatest common factor 87830 and 87844 is 2.

Also check out the Least Common Multiple of 87830 and 87844