What is the Greatest Common Factor of 96360 and 96371?

Greatest common factor (GCF) of 96360 and 96371 is 11.

GCF(96360,96371) = 11

We will now calculate the prime factors of 96360 and 96371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96360 and 96371.

How to find the GCF of 96360 and 96371?

We will first find the prime factorization of 96360 and 96371. After we will calculate the factors of 96360 and 96371 and find the biggest common factor number .

Step-1: Prime Factorization of 96360

Prime factors of 96360 are 2, 3, 5, 11, 73. Prime factorization of 96360 in exponential form is:

96360 = 2³ × 3¹ × 5¹ × 11¹ × 73¹

Step-2: Prime Factorization of 96371

Prime factors of 96371 are 11, 8761. Prime factorization of 96371 in exponential form is:

96371 = 11¹ × 8761¹

Step-3: Factors of 96360

List of positive integer factors of 96360 that divides 96360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 73, 88, 110, 120, 132, 146, 165, 219, 220, 264, 292, 330, 365, 438, 440, 584, 660, 730, 803, 876, 1095, 1320, 1460, 1606, 1752, 2190, 2409, 2920, 3212, 4015, 4380, 4818, 6424, 8030, 8760, 9636, 12045, 16060, 19272, 24090, 32120, 48180

Step-4: Factors of 96371

List of positive integer factors of 96371 that divides 96360 without a remainder.

1, 11, 8761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96360 and 96371. The biggest common factor number is the GCF number.
So the greatest common factor 96360 and 96371 is 11.

Also check out the Least Common Multiple of 96360 and 96371