What is the Greatest Common Factor of 63410 and 63425?

Greatest common factor (GCF) of 63410 and 63425 is 5.

GCF(63410,63425) = 5

We will now calculate the prime factors of 63410 and 63425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63410 and 63425.

How to find the GCF of 63410 and 63425?

We will first find the prime factorization of 63410 and 63425. After we will calculate the factors of 63410 and 63425 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63425

Prime factors of 63425 are 5, 43, 59. Prime factorization of 63425 in exponential form is:

63425 = 5² × 43¹ × 59¹

Step-3: Factors of 63410

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

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

Step-4: Factors of 63425

List of positive integer factors of 63425 that divides 63410 without a remainder.

1, 5, 25, 43, 59, 215, 295, 1075, 1475, 2537, 12685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63410 and 63425. The biggest common factor number is the GCF number.
So the greatest common factor 63410 and 63425 is 5.

Also check out the Least Common Multiple of 63410 and 63425