What is the Greatest Common Factor of 96862 and 96870?

Greatest common factor (GCF) of 96862 and 96870 is 2.

GCF(96862,96870) = 2

We will now calculate the prime factors of 96862 and 96870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96862 and 96870.

How to find the GCF of 96862 and 96870?

We will first find the prime factorization of 96862 and 96870. After we will calculate the factors of 96862 and 96870 and find the biggest common factor number .

Step-1: Prime Factorization of 96862

Prime factors of 96862 are 2, 19, 2549. Prime factorization of 96862 in exponential form is:

96862 = 2¹ × 19¹ × 2549¹

Step-2: Prime Factorization of 96870

Prime factors of 96870 are 2, 3, 5, 3229. Prime factorization of 96870 in exponential form is:

96870 = 2¹ × 3¹ × 5¹ × 3229¹

Step-3: Factors of 96862

List of positive integer factors of 96862 that divides 96862 without a remainder.

1, 2, 19, 38, 2549, 5098, 48431

Step-4: Factors of 96870

List of positive integer factors of 96870 that divides 96862 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3229, 6458, 9687, 16145, 19374, 32290, 48435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96862 and 96870. The biggest common factor number is the GCF number.
So the greatest common factor 96862 and 96870 is 2.

Also check out the Least Common Multiple of 96862 and 96870