What is the Greatest Common Factor of 63414 and 63434?

Greatest common factor (GCF) of 63414 and 63434 is 2.

GCF(63414,63434) = 2

We will now calculate the prime factors of 63414 and 63434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63414 and 63434.

How to find the GCF of 63414 and 63434?

We will first find the prime factorization of 63414 and 63434. After we will calculate the factors of 63414 and 63434 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 63434

Prime factors of 63434 are 2, 7, 23, 197. Prime factorization of 63434 in exponential form is:

63434 = 2¹ × 7¹ × 23¹ × 197¹

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 63434

List of positive integer factors of 63434 that divides 63414 without a remainder.

1, 2, 7, 14, 23, 46, 161, 197, 322, 394, 1379, 2758, 4531, 9062, 31717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63414 and 63434. The biggest common factor number is the GCF number.
So the greatest common factor 63414 and 63434 is 2.

Also check out the Least Common Multiple of 63414 and 63434