What is the Greatest Common Factor of 51400 and 51410?

Greatest common factor (GCF) of 51400 and 51410 is 10.

GCF(51400,51410) = 10

We will now calculate the prime factors of 51400 and 51410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51400 and 51410.

How to find the GCF of 51400 and 51410?

We will first find the prime factorization of 51400 and 51410. After we will calculate the factors of 51400 and 51410 and find the biggest common factor number .

Step-1: Prime Factorization of 51400

Prime factors of 51400 are 2, 5, 257. Prime factorization of 51400 in exponential form is:

51400 = 2³ × 5² × 257¹

Step-2: Prime Factorization of 51410

Prime factors of 51410 are 2, 5, 53, 97. Prime factorization of 51410 in exponential form is:

51410 = 2¹ × 5¹ × 53¹ × 97¹

Step-3: Factors of 51400

List of positive integer factors of 51400 that divides 51400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 257, 514, 1028, 1285, 2056, 2570, 5140, 6425, 10280, 12850, 25700

Step-4: Factors of 51410

List of positive integer factors of 51410 that divides 51400 without a remainder.

1, 2, 5, 10, 53, 97, 106, 194, 265, 485, 530, 970, 5141, 10282, 25705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51400 and 51410. The biggest common factor number is the GCF number.
So the greatest common factor 51400 and 51410 is 10.

Also check out the Least Common Multiple of 51400 and 51410