What is the Greatest Common Factor of 63630 and 63640?

Greatest common factor (GCF) of 63630 and 63640 is 10.

GCF(63630,63640) = 10

We will now calculate the prime factors of 63630 and 63640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63630 and 63640.

How to find the GCF of 63630 and 63640?

We will first find the prime factorization of 63630 and 63640. After we will calculate the factors of 63630 and 63640 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 63640

Prime factors of 63640 are 2, 5, 37, 43. Prime factorization of 63640 in exponential form is:

63640 = 2³ × 5¹ × 37¹ × 43¹

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 63640

List of positive integer factors of 63640 that divides 63630 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 43, 74, 86, 148, 172, 185, 215, 296, 344, 370, 430, 740, 860, 1480, 1591, 1720, 3182, 6364, 7955, 12728, 15910, 31820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63630 and 63640. The biggest common factor number is the GCF number.
So the greatest common factor 63630 and 63640 is 10.

Also check out the Least Common Multiple of 63630 and 63640