What is the Greatest Common Factor of 63425 and 63440?

Greatest common factor (GCF) of 63425 and 63440 is 5.

GCF(63425,63440) = 5

We will now calculate the prime factors of 63425 and 63440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63425 and 63440.

How to find the GCF of 63425 and 63440?

We will first find the prime factorization of 63425 and 63440. After we will calculate the factors of 63425 and 63440 and find the biggest common factor number .

Step-1: Prime Factorization of 63425

Prime factors of 63425 are 5, 43, 59. Prime factorization of 63425 in exponential form is:

63425 = 5² × 43¹ × 59¹

Step-2: Prime Factorization of 63440

Prime factors of 63440 are 2, 5, 13, 61. Prime factorization of 63440 in exponential form is:

63440 = 2⁴ × 5¹ × 13¹ × 61¹

Step-3: Factors of 63425

List of positive integer factors of 63425 that divides 63425 without a remainder.

1, 5, 25, 43, 59, 215, 295, 1075, 1475, 2537, 12685

Step-4: Factors of 63440

List of positive integer factors of 63440 that divides 63425 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 61, 65, 80, 104, 122, 130, 208, 244, 260, 305, 488, 520, 610, 793, 976, 1040, 1220, 1586, 2440, 3172, 3965, 4880, 6344, 7930, 12688, 15860, 31720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63425 and 63440. The biggest common factor number is the GCF number.
So the greatest common factor 63425 and 63440 is 5.

Also check out the Least Common Multiple of 63425 and 63440