What is the Greatest Common Factor of 81376 and 81396?

Greatest common factor (GCF) of 81376 and 81396 is 4.

GCF(81376,81396) = 4

We will now calculate the prime factors of 81376 and 81396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81376 and 81396.

How to find the GCF of 81376 and 81396?

We will first find the prime factorization of 81376 and 81396. After we will calculate the factors of 81376 and 81396 and find the biggest common factor number .

Step-1: Prime Factorization of 81376

Prime factors of 81376 are 2, 2543. Prime factorization of 81376 in exponential form is:

81376 = 2⁵ × 2543¹

Step-2: Prime Factorization of 81396

Prime factors of 81396 are 2, 3, 7, 17, 19. Prime factorization of 81396 in exponential form is:

81396 = 2² × 3² × 7¹ × 17¹ × 19¹

Step-3: Factors of 81376

List of positive integer factors of 81376 that divides 81376 without a remainder.

1, 2, 4, 8, 16, 32, 2543, 5086, 10172, 20344, 40688

Step-4: Factors of 81396

List of positive integer factors of 81396 that divides 81376 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 19, 21, 28, 34, 36, 38, 42, 51, 57, 63, 68, 76, 84, 102, 114, 119, 126, 133, 153, 171, 204, 228, 238, 252, 266, 306, 323, 342, 357, 399, 476, 532, 612, 646, 684, 714, 798, 969, 1071, 1197, 1292, 1428, 1596, 1938, 2142, 2261, 2394, 2907, 3876, 4284, 4522, 4788, 5814, 6783, 9044, 11628, 13566, 20349, 27132, 40698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81376 and 81396. The biggest common factor number is the GCF number.
So the greatest common factor 81376 and 81396 is 4.

Also check out the Least Common Multiple of 81376 and 81396