What is the Greatest Common Factor of 63506 and 63510?

Greatest common factor (GCF) of 63506 and 63510 is 2.

GCF(63506,63510) = 2

We will now calculate the prime factors of 63506 and 63510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63506 and 63510.

How to find the GCF of 63506 and 63510?

We will first find the prime factorization of 63506 and 63510. After we will calculate the factors of 63506 and 63510 and find the biggest common factor number .

Step-1: Prime Factorization of 63506

Prime factors of 63506 are 2, 113, 281. Prime factorization of 63506 in exponential form is:

63506 = 2¹ × 113¹ × 281¹

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 63506

List of positive integer factors of 63506 that divides 63506 without a remainder.

1, 2, 113, 226, 281, 562, 31753

Step-4: Factors of 63510

List of positive integer factors of 63510 that divides 63506 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 63506 and 63510. The biggest common factor number is the GCF number.
So the greatest common factor 63506 and 63510 is 2.

Also check out the Least Common Multiple of 63506 and 63510