What is the Greatest Common Factor of 63427 and 63435?

Greatest common factor (GCF) of 63427 and 63435 is 1.

GCF(63427,63435) = 1

We will now calculate the prime factors of 63427 and 63435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63427 and 63435.

How to find the GCF of 63427 and 63435?

We will first find the prime factorization of 63427 and 63435. After we will calculate the factors of 63427 and 63435 and find the biggest common factor number .

Step-1: Prime Factorization of 63427

Prime factors of 63427 are 7, 13, 17, 41. Prime factorization of 63427 in exponential form is:

63427 = 7¹ × 13¹ × 17¹ × 41¹

Step-2: Prime Factorization of 63435

Prime factors of 63435 are 3, 5, 4229. Prime factorization of 63435 in exponential form is:

63435 = 3¹ × 5¹ × 4229¹

Step-3: Factors of 63427

List of positive integer factors of 63427 that divides 63427 without a remainder.

1, 7, 13, 17, 41, 91, 119, 221, 287, 533, 697, 1547, 3731, 4879, 9061

Step-4: Factors of 63435

List of positive integer factors of 63435 that divides 63427 without a remainder.

1, 3, 5, 15, 4229, 12687, 21145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63427 and 63435. The biggest common factor number is the GCF number.
So the greatest common factor 63427 and 63435 is 1.

Also check out the Least Common Multiple of 63427 and 63435