What is the Greatest Common Factor of 88382 and 88396?

Greatest common factor (GCF) of 88382 and 88396 is 14.

GCF(88382,88396) = 14

We will now calculate the prime factors of 88382 and 88396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88382 and 88396.

How to find the GCF of 88382 and 88396?

We will first find the prime factorization of 88382 and 88396. After we will calculate the factors of 88382 and 88396 and find the biggest common factor number .

Step-1: Prime Factorization of 88382

Prime factors of 88382 are 2, 7, 59, 107. Prime factorization of 88382 in exponential form is:

88382 = 2¹ × 7¹ × 59¹ × 107¹

Step-2: Prime Factorization of 88396

Prime factors of 88396 are 2, 7, 11, 41. Prime factorization of 88396 in exponential form is:

88396 = 2² × 7² × 11¹ × 41¹

Step-3: Factors of 88382

List of positive integer factors of 88382 that divides 88382 without a remainder.

1, 2, 7, 14, 59, 107, 118, 214, 413, 749, 826, 1498, 6313, 12626, 44191

Step-4: Factors of 88396

List of positive integer factors of 88396 that divides 88382 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 41, 44, 49, 77, 82, 98, 154, 164, 196, 287, 308, 451, 539, 574, 902, 1078, 1148, 1804, 2009, 2156, 3157, 4018, 6314, 8036, 12628, 22099, 44198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88382 and 88396. The biggest common factor number is the GCF number.
So the greatest common factor 88382 and 88396 is 14.

Also check out the Least Common Multiple of 88382 and 88396