What is the Greatest Common Factor of 95820 and 95834?

Greatest common factor (GCF) of 95820 and 95834 is 2.

GCF(95820,95834) = 2

We will now calculate the prime factors of 95820 and 95834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95820 and 95834.

How to find the GCF of 95820 and 95834?

We will first find the prime factorization of 95820 and 95834. After we will calculate the factors of 95820 and 95834 and find the biggest common factor number .

Step-1: Prime Factorization of 95820

Prime factors of 95820 are 2, 3, 5, 1597. Prime factorization of 95820 in exponential form is:

95820 = 2² × 3¹ × 5¹ × 1597¹

Step-2: Prime Factorization of 95834

Prime factors of 95834 are 2, 47917. Prime factorization of 95834 in exponential form is:

95834 = 2¹ × 47917¹

Step-3: Factors of 95820

List of positive integer factors of 95820 that divides 95820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1597, 3194, 4791, 6388, 7985, 9582, 15970, 19164, 23955, 31940, 47910

Step-4: Factors of 95834

List of positive integer factors of 95834 that divides 95820 without a remainder.

1, 2, 47917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95820 and 95834. The biggest common factor number is the GCF number.
So the greatest common factor 95820 and 95834 is 2.

Also check out the Least Common Multiple of 95820 and 95834