What is the Greatest Common Factor of 63400 and 63410?

Greatest common factor (GCF) of 63400 and 63410 is 10.

GCF(63400,63410) = 10

We will now calculate the prime factors of 63400 and 63410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63400 and 63410.

How to find the GCF of 63400 and 63410?

We will first find the prime factorization of 63400 and 63410. After we will calculate the factors of 63400 and 63410 and find the biggest common factor number .

Step-1: Prime Factorization of 63400

Prime factors of 63400 are 2, 5, 317. Prime factorization of 63400 in exponential form is:

63400 = 2³ × 5² × 317¹

Step-2: Prime Factorization of 63410

Prime factors of 63410 are 2, 5, 17, 373. Prime factorization of 63410 in exponential form is:

63410 = 2¹ × 5¹ × 17¹ × 373¹

Step-3: Factors of 63400

List of positive integer factors of 63400 that divides 63400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 317, 634, 1268, 1585, 2536, 3170, 6340, 7925, 12680, 15850, 31700

Step-4: Factors of 63410

List of positive integer factors of 63410 that divides 63400 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 373, 746, 1865, 3730, 6341, 12682, 31705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63400 and 63410. The biggest common factor number is the GCF number.
So the greatest common factor 63400 and 63410 is 10.

Also check out the Least Common Multiple of 63400 and 63410