What is the Greatest Common Factor of 63890 and 63900?

Greatest common factor (GCF) of 63890 and 63900 is 10.

GCF(63890,63900) = 10

We will now calculate the prime factors of 63890 and 63900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63890 and 63900.

How to find the GCF of 63890 and 63900?

We will first find the prime factorization of 63890 and 63900. After we will calculate the factors of 63890 and 63900 and find the biggest common factor number .

Step-1: Prime Factorization of 63890

Prime factors of 63890 are 2, 5, 6389. Prime factorization of 63890 in exponential form is:

63890 = 2¹ × 5¹ × 6389¹

Step-2: Prime Factorization of 63900

Prime factors of 63900 are 2, 3, 5, 71. Prime factorization of 63900 in exponential form is:

63900 = 2² × 3² × 5² × 71¹

Step-3: Factors of 63890

List of positive integer factors of 63890 that divides 63890 without a remainder.

1, 2, 5, 10, 6389, 12778, 31945

Step-4: Factors of 63900

List of positive integer factors of 63900 that divides 63890 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 71, 75, 90, 100, 142, 150, 180, 213, 225, 284, 300, 355, 426, 450, 639, 710, 852, 900, 1065, 1278, 1420, 1775, 2130, 2556, 3195, 3550, 4260, 5325, 6390, 7100, 10650, 12780, 15975, 21300, 31950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63890 and 63900. The biggest common factor number is the GCF number.
So the greatest common factor 63890 and 63900 is 10.

Also check out the Least Common Multiple of 63890 and 63900