What is the Greatest Common Factor of 81400 and 81410?

Greatest common factor (GCF) of 81400 and 81410 is 10.

GCF(81400,81410) = 10

We will now calculate the prime factors of 81400 and 81410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81400 and 81410.

How to find the GCF of 81400 and 81410?

We will first find the prime factorization of 81400 and 81410. After we will calculate the factors of 81400 and 81410 and find the biggest common factor number .

Step-1: Prime Factorization of 81400

Prime factors of 81400 are 2, 5, 11, 37. Prime factorization of 81400 in exponential form is:

81400 = 2³ × 5² × 11¹ × 37¹

Step-2: Prime Factorization of 81410

Prime factors of 81410 are 2, 5, 7, 1163. Prime factorization of 81410 in exponential form is:

81410 = 2¹ × 5¹ × 7¹ × 1163¹

Step-3: Factors of 81400

List of positive integer factors of 81400 that divides 81400 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 37, 40, 44, 50, 55, 74, 88, 100, 110, 148, 185, 200, 220, 275, 296, 370, 407, 440, 550, 740, 814, 925, 1100, 1480, 1628, 1850, 2035, 2200, 3256, 3700, 4070, 7400, 8140, 10175, 16280, 20350, 40700

Step-4: Factors of 81410

List of positive integer factors of 81410 that divides 81400 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1163, 2326, 5815, 8141, 11630, 16282, 40705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81400 and 81410. The biggest common factor number is the GCF number.
So the greatest common factor 81400 and 81410 is 10.

Also check out the Least Common Multiple of 81400 and 81410