What is the Greatest Common Factor of 96362 and 96376?

Greatest common factor (GCF) of 96362 and 96376 is 14.

GCF(96362,96376) = 14

We will now calculate the prime factors of 96362 and 96376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96362 and 96376.

How to find the GCF of 96362 and 96376?

We will first find the prime factorization of 96362 and 96376. After we will calculate the factors of 96362 and 96376 and find the biggest common factor number .

Step-1: Prime Factorization of 96362

Prime factors of 96362 are 2, 7, 6883. Prime factorization of 96362 in exponential form is:

96362 = 2¹ × 7¹ × 6883¹

Step-2: Prime Factorization of 96376

Prime factors of 96376 are 2, 7, 1721. Prime factorization of 96376 in exponential form is:

96376 = 2³ × 7¹ × 1721¹

Step-3: Factors of 96362

List of positive integer factors of 96362 that divides 96362 without a remainder.

1, 2, 7, 14, 6883, 13766, 48181

Step-4: Factors of 96376

List of positive integer factors of 96376 that divides 96362 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1721, 3442, 6884, 12047, 13768, 24094, 48188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96362 and 96376. The biggest common factor number is the GCF number.
So the greatest common factor 96362 and 96376 is 14.

Also check out the Least Common Multiple of 96362 and 96376