What is the Greatest Common Factor of 63530 and 63535?

Greatest common factor (GCF) of 63530 and 63535 is 5.

GCF(63530,63535) = 5

We will now calculate the prime factors of 63530 and 63535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63530 and 63535.

How to find the GCF of 63530 and 63535?

We will first find the prime factorization of 63530 and 63535. After we will calculate the factors of 63530 and 63535 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63535

Prime factors of 63535 are 5, 97, 131. Prime factorization of 63535 in exponential form is:

63535 = 5¹ × 97¹ × 131¹

Step-3: Factors of 63530

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

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

Step-4: Factors of 63535

List of positive integer factors of 63535 that divides 63530 without a remainder.

1, 5, 97, 131, 485, 655, 12707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63530 and 63535. The biggest common factor number is the GCF number.
So the greatest common factor 63530 and 63535 is 5.

Also check out the Least Common Multiple of 63530 and 63535