What is the Greatest Common Factor of 81280 and 81300?

Greatest common factor (GCF) of 81280 and 81300 is 20.

GCF(81280,81300) = 20

We will now calculate the prime factors of 81280 and 81300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81280 and 81300.

How to find the GCF of 81280 and 81300?

We will first find the prime factorization of 81280 and 81300. After we will calculate the factors of 81280 and 81300 and find the biggest common factor number .

Step-1: Prime Factorization of 81280

Prime factors of 81280 are 2, 5, 127. Prime factorization of 81280 in exponential form is:

81280 = 2⁷ × 5¹ × 127¹

Step-2: Prime Factorization of 81300

Prime factors of 81300 are 2, 3, 5, 271. Prime factorization of 81300 in exponential form is:

81300 = 2² × 3¹ × 5² × 271¹

Step-3: Factors of 81280

List of positive integer factors of 81280 that divides 81280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 127, 128, 160, 254, 320, 508, 635, 640, 1016, 1270, 2032, 2540, 4064, 5080, 8128, 10160, 16256, 20320, 40640

Step-4: Factors of 81300

List of positive integer factors of 81300 that divides 81280 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 271, 300, 542, 813, 1084, 1355, 1626, 2710, 3252, 4065, 5420, 6775, 8130, 13550, 16260, 20325, 27100, 40650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81280 and 81300. The biggest common factor number is the GCF number.
So the greatest common factor 81280 and 81300 is 20.

Also check out the Least Common Multiple of 81280 and 81300