What is the Greatest Common Factor of 81300 and 81314?

Greatest common factor (GCF) of 81300 and 81314 is 2.

GCF(81300,81314) = 2

We will now calculate the prime factors of 81300 and 81314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81300 and 81314.

How to find the GCF of 81300 and 81314?

We will first find the prime factorization of 81300 and 81314. After we will calculate the factors of 81300 and 81314 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81314

Prime factors of 81314 are 2, 109, 373. Prime factorization of 81314 in exponential form is:

81314 = 2¹ × 109¹ × 373¹

Step-3: Factors of 81300

List of positive integer factors of 81300 that divides 81300 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

Step-4: Factors of 81314

List of positive integer factors of 81314 that divides 81300 without a remainder.

1, 2, 109, 218, 373, 746, 40657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81300 and 81314. The biggest common factor number is the GCF number.
So the greatest common factor 81300 and 81314 is 2.

Also check out the Least Common Multiple of 81300 and 81314