What is the Greatest Common Factor of 63414 and 63424?

Greatest common factor (GCF) of 63414 and 63424 is 2.

GCF(63414,63424) = 2

We will now calculate the prime factors of 63414 and 63424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63414 and 63424.

How to find the GCF of 63414 and 63424?

We will first find the prime factorization of 63414 and 63424. After we will calculate the factors of 63414 and 63424 and find the biggest common factor number .

Step-1: Prime Factorization of 63414

Prime factors of 63414 are 2, 3, 13, 271. Prime factorization of 63414 in exponential form is:

63414 = 2¹ × 3² × 13¹ × 271¹

Step-2: Prime Factorization of 63424

Prime factors of 63424 are 2, 991. Prime factorization of 63424 in exponential form is:

63424 = 2⁶ × 991¹

Step-3: Factors of 63414

List of positive integer factors of 63414 that divides 63414 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 271, 542, 813, 1626, 2439, 3523, 4878, 7046, 10569, 21138, 31707

Step-4: Factors of 63424

List of positive integer factors of 63424 that divides 63414 without a remainder.

1, 2, 4, 8, 16, 32, 64, 991, 1982, 3964, 7928, 15856, 31712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63414 and 63424. The biggest common factor number is the GCF number.
So the greatest common factor 63414 and 63424 is 2.

Also check out the Least Common Multiple of 63414 and 63424