What is the Greatest Common Factor of 63500 and 63510?

Greatest common factor (GCF) of 63500 and 63510 is 10.

GCF(63500,63510) = 10

We will now calculate the prime factors of 63500 and 63510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63500 and 63510.

How to find the GCF of 63500 and 63510?

We will first find the prime factorization of 63500 and 63510. After we will calculate the factors of 63500 and 63510 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63510

Prime factors of 63510 are 2, 3, 5, 29, 73. Prime factorization of 63510 in exponential form is:

63510 = 2¹ × 3¹ × 5¹ × 29¹ × 73¹

Step-3: Factors of 63500

List of positive integer factors of 63500 that divides 63500 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

Step-4: Factors of 63510

List of positive integer factors of 63510 that divides 63500 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 73, 87, 145, 146, 174, 219, 290, 365, 435, 438, 730, 870, 1095, 2117, 2190, 4234, 6351, 10585, 12702, 21170, 31755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63500 and 63510. The biggest common factor number is the GCF number.
So the greatest common factor 63500 and 63510 is 10.

Also check out the Least Common Multiple of 63500 and 63510