What is the Greatest Common Factor of 63494 and 63500?

Greatest common factor (GCF) of 63494 and 63500 is 2.

GCF(63494,63500) = 2

We will now calculate the prime factors of 63494 and 63500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63494 and 63500.

How to find the GCF of 63494 and 63500?

We will first find the prime factorization of 63494 and 63500. After we will calculate the factors of 63494 and 63500 and find the biggest common factor number .

Step-1: Prime Factorization of 63494

Prime factors of 63494 are 2, 53, 599. Prime factorization of 63494 in exponential form is:

63494 = 2¹ × 53¹ × 599¹

Step-2: Prime Factorization of 63500

Prime factors of 63500 are 2, 5, 127. Prime factorization of 63500 in exponential form is:

63500 = 2² × 5³ × 127¹

Step-3: Factors of 63494

List of positive integer factors of 63494 that divides 63494 without a remainder.

1, 2, 53, 106, 599, 1198, 31747

Step-4: Factors of 63500

List of positive integer factors of 63500 that divides 63494 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 127, 250, 254, 500, 508, 635, 1270, 2540, 3175, 6350, 12700, 15875, 31750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63494 and 63500. The biggest common factor number is the GCF number.
So the greatest common factor 63494 and 63500 is 2.

Also check out the Least Common Multiple of 63494 and 63500