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What is the Greatest Common Factor of 96376 and 96396?

Greatest common factor (GCF) of 96376 and 96396 is 4.

GCF(96376,96396) = 4

We will now calculate the prime factors of 96376 and 96396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96376 and 96396.

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How to find the GCF of 96376 and 96396?

We will first find the prime factorization of 96376 and 96396. After we will calculate the factors of 96376 and 96396 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96396

Prime factors of 96396 are 2, 3, 29, 277. Prime factorization of 96396 in exponential form is:

96396 = 22 × 31 × 291 × 2771

Step-3: Factors of 96376

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

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

Step-4: Factors of 96396

List of positive integer factors of 96396 that divides 96376 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 277, 348, 554, 831, 1108, 1662, 3324, 8033, 16066, 24099, 32132, 48198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96376 and 96396. The biggest common factor number is the GCF number.
So the greatest common factor 96376 and 96396 is 4.

Also check out the Least Common Multiple of 96376 and 96396