What is the Greatest Common Factor of 81408 and 81420?

Greatest common factor (GCF) of 81408 and 81420 is 12.

GCF(81408,81420) = 12

We will now calculate the prime factors of 81408 and 81420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81408 and 81420.

How to find the GCF of 81408 and 81420?

We will first find the prime factorization of 81408 and 81420. After we will calculate the factors of 81408 and 81420 and find the biggest common factor number .

Step-1: Prime Factorization of 81408

Prime factors of 81408 are 2, 3, 53. Prime factorization of 81408 in exponential form is:

81408 = 2⁹ × 3¹ × 53¹

Step-2: Prime Factorization of 81420

Prime factors of 81420 are 2, 3, 5, 23, 59. Prime factorization of 81420 in exponential form is:

81420 = 2² × 3¹ × 5¹ × 23¹ × 59¹

Step-3: Factors of 81408

List of positive integer factors of 81408 that divides 81408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 64, 96, 106, 128, 159, 192, 212, 256, 318, 384, 424, 512, 636, 768, 848, 1272, 1536, 1696, 2544, 3392, 5088, 6784, 10176, 13568, 20352, 27136, 40704

Step-4: Factors of 81420

List of positive integer factors of 81420 that divides 81408 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 59, 60, 69, 92, 115, 118, 138, 177, 230, 236, 276, 295, 345, 354, 460, 590, 690, 708, 885, 1180, 1357, 1380, 1770, 2714, 3540, 4071, 5428, 6785, 8142, 13570, 16284, 20355, 27140, 40710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81408 and 81420. The biggest common factor number is the GCF number.
So the greatest common factor 81408 and 81420 is 12.

Also check out the Least Common Multiple of 81408 and 81420