What is the Greatest Common Factor of 63630 and 63642?

Greatest common factor (GCF) of 63630 and 63642 is 6.

GCF(63630,63642) = 6

We will now calculate the prime factors of 63630 and 63642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63630 and 63642.

How to find the GCF of 63630 and 63642?

We will first find the prime factorization of 63630 and 63642. After we will calculate the factors of 63630 and 63642 and find the biggest common factor number .

Step-1: Prime Factorization of 63630

Prime factors of 63630 are 2, 3, 5, 7, 101. Prime factorization of 63630 in exponential form is:

63630 = 2¹ × 3² × 5¹ × 7¹ × 101¹

Step-2: Prime Factorization of 63642

Prime factors of 63642 are 2, 3, 10607. Prime factorization of 63642 in exponential form is:

63642 = 2¹ × 3¹ × 10607¹

Step-3: Factors of 63630

List of positive integer factors of 63630 that divides 63630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 101, 105, 126, 202, 210, 303, 315, 505, 606, 630, 707, 909, 1010, 1414, 1515, 1818, 2121, 3030, 3535, 4242, 4545, 6363, 7070, 9090, 10605, 12726, 21210, 31815

Step-4: Factors of 63642

List of positive integer factors of 63642 that divides 63630 without a remainder.

1, 2, 3, 6, 10607, 21214, 31821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63630 and 63642. The biggest common factor number is the GCF number.
So the greatest common factor 63630 and 63642 is 6.

Also check out the Least Common Multiple of 63630 and 63642