What is the Greatest Common Factor of 59882 and 59894?

Greatest common factor (GCF) of 59882 and 59894 is 2.

GCF(59882,59894) = 2

We will now calculate the prime factors of 59882 and 59894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59882 and 59894.

How to find the GCF of 59882 and 59894?

We will first find the prime factorization of 59882 and 59894. After we will calculate the factors of 59882 and 59894 and find the biggest common factor number .

Step-1: Prime Factorization of 59882

Prime factors of 59882 are 2, 79, 379. Prime factorization of 59882 in exponential form is:

59882 = 2¹ × 79¹ × 379¹

Step-2: Prime Factorization of 59894

Prime factors of 59894 are 2, 29947. Prime factorization of 59894 in exponential form is:

59894 = 2¹ × 29947¹

Step-3: Factors of 59882

List of positive integer factors of 59882 that divides 59882 without a remainder.

1, 2, 79, 158, 379, 758, 29941

Step-4: Factors of 59894

List of positive integer factors of 59894 that divides 59882 without a remainder.

1, 2, 29947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59882 and 59894. The biggest common factor number is the GCF number.
So the greatest common factor 59882 and 59894 is 2.

Also check out the Least Common Multiple of 59882 and 59894