What is the Greatest Common Factor of 63630 and 63650?

Greatest common factor (GCF) of 63630 and 63650 is 10.

GCF(63630,63650) = 10

We will now calculate the prime factors of 63630 and 63650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63630 and 63650.

How to find the GCF of 63630 and 63650?

We will first find the prime factorization of 63630 and 63650. After we will calculate the factors of 63630 and 63650 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 63650

Prime factors of 63650 are 2, 5, 19, 67. Prime factorization of 63650 in exponential form is:

63650 = 2¹ × 5² × 19¹ × 67¹

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 63650

List of positive integer factors of 63650 that divides 63630 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 67, 95, 134, 190, 335, 475, 670, 950, 1273, 1675, 2546, 3350, 6365, 12730, 31825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63630 and 63650. The biggest common factor number is the GCF number.
So the greatest common factor 63630 and 63650 is 10.

Also check out the Least Common Multiple of 63630 and 63650