What is the Greatest Common Factor of 63635 and 63645?

Greatest common factor (GCF) of 63635 and 63645 is 5.

GCF(63635,63645) = 5

We will now calculate the prime factors of 63635 and 63645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63635 and 63645.

How to find the GCF of 63635 and 63645?

We will first find the prime factorization of 63635 and 63645. After we will calculate the factors of 63635 and 63645 and find the biggest common factor number .

Step-1: Prime Factorization of 63635

Prime factors of 63635 are 5, 11, 13, 89. Prime factorization of 63635 in exponential form is:

63635 = 5¹ × 11¹ × 13¹ × 89¹

Step-2: Prime Factorization of 63645

Prime factors of 63645 are 3, 5, 4243. Prime factorization of 63645 in exponential form is:

63645 = 3¹ × 5¹ × 4243¹

Step-3: Factors of 63635

List of positive integer factors of 63635 that divides 63635 without a remainder.

1, 5, 11, 13, 55, 65, 89, 143, 445, 715, 979, 1157, 4895, 5785, 12727

Step-4: Factors of 63645

List of positive integer factors of 63645 that divides 63635 without a remainder.

1, 3, 5, 15, 4243, 12729, 21215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63635 and 63645. The biggest common factor number is the GCF number.
So the greatest common factor 63635 and 63645 is 5.

Also check out the Least Common Multiple of 63635 and 63645