What is the Greatest Common Factor of 87238 and 87244?

Greatest common factor (GCF) of 87238 and 87244 is 2.

GCF(87238,87244) = 2

We will now calculate the prime factors of 87238 and 87244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87238 and 87244.

How to find the GCF of 87238 and 87244?

We will first find the prime factorization of 87238 and 87244. After we will calculate the factors of 87238 and 87244 and find the biggest common factor number .

Step-1: Prime Factorization of 87238

Prime factors of 87238 are 2, 53, 823. Prime factorization of 87238 in exponential form is:

87238 = 2¹ × 53¹ × 823¹

Step-2: Prime Factorization of 87244

Prime factors of 87244 are 2, 17, 1283. Prime factorization of 87244 in exponential form is:

87244 = 2² × 17¹ × 1283¹

Step-3: Factors of 87238

List of positive integer factors of 87238 that divides 87238 without a remainder.

1, 2, 53, 106, 823, 1646, 43619

Step-4: Factors of 87244

List of positive integer factors of 87244 that divides 87238 without a remainder.

1, 2, 4, 17, 34, 68, 1283, 2566, 5132, 21811, 43622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87238 and 87244. The biggest common factor number is the GCF number.
So the greatest common factor 87238 and 87244 is 2.

Also check out the Least Common Multiple of 87238 and 87244