What is the Greatest Common Factor of 81296 and 81300?

Greatest common factor (GCF) of 81296 and 81300 is 4.

GCF(81296,81300) = 4

We will now calculate the prime factors of 81296 and 81300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81296 and 81300.

How to find the GCF of 81296 and 81300?

We will first find the prime factorization of 81296 and 81300. After we will calculate the factors of 81296 and 81300 and find the biggest common factor number .

Step-1: Prime Factorization of 81296

Prime factors of 81296 are 2, 5081. Prime factorization of 81296 in exponential form is:

81296 = 2⁴ × 5081¹

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 81296

List of positive integer factors of 81296 that divides 81296 without a remainder.

1, 2, 4, 8, 16, 5081, 10162, 20324, 40648

Step-4: Factors of 81300

List of positive integer factors of 81300 that divides 81296 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 81296 and 81300. The biggest common factor number is the GCF number.
So the greatest common factor 81296 and 81300 is 4.

Also check out the Least Common Multiple of 81296 and 81300