What is the Greatest Common Factor of 87338 and 87356?

Greatest common factor (GCF) of 87338 and 87356 is 2.

GCF(87338,87356) = 2

We will now calculate the prime factors of 87338 and 87356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87338 and 87356.

How to find the GCF of 87338 and 87356?

We will first find the prime factorization of 87338 and 87356. After we will calculate the factors of 87338 and 87356 and find the biggest common factor number .

Step-1: Prime Factorization of 87338

Prime factors of 87338 are 2, 43669. Prime factorization of 87338 in exponential form is:

87338 = 2¹ × 43669¹

Step-2: Prime Factorization of 87356

Prime factors of 87356 are 2, 21839. Prime factorization of 87356 in exponential form is:

87356 = 2² × 21839¹

Step-3: Factors of 87338

List of positive integer factors of 87338 that divides 87338 without a remainder.

1, 2, 43669

Step-4: Factors of 87356

List of positive integer factors of 87356 that divides 87338 without a remainder.

1, 2, 4, 21839, 43678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87338 and 87356. The biggest common factor number is the GCF number.
So the greatest common factor 87338 and 87356 is 2.

Also check out the Least Common Multiple of 87338 and 87356