What is the Greatest Common Factor of 63510 and 63530?

Greatest common factor (GCF) of 63510 and 63530 is 10.

GCF(63510,63530) = 10

We will now calculate the prime factors of 63510 and 63530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63510 and 63530.

How to find the GCF of 63510 and 63530?

We will first find the prime factorization of 63510 and 63530. After we will calculate the factors of 63510 and 63530 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63530

Prime factors of 63530 are 2, 5, 6353. Prime factorization of 63530 in exponential form is:

63530 = 2¹ × 5¹ × 6353¹

Step-3: Factors of 63510

List of positive integer factors of 63510 that divides 63510 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

Step-4: Factors of 63530

List of positive integer factors of 63530 that divides 63510 without a remainder.

1, 2, 5, 10, 6353, 12706, 31765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63510 and 63530. The biggest common factor number is the GCF number.
So the greatest common factor 63510 and 63530 is 10.

Also check out the Least Common Multiple of 63510 and 63530