What is the Greatest Common Factor of 63414 and 63426?

Greatest common factor (GCF) of 63414 and 63426 is 6.

GCF(63414,63426) = 6

We will now calculate the prime factors of 63414 and 63426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63414 and 63426.

How to find the GCF of 63414 and 63426?

We will first find the prime factorization of 63414 and 63426. After we will calculate the factors of 63414 and 63426 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 63426

Prime factors of 63426 are 2, 3, 11, 31. Prime factorization of 63426 in exponential form is:

63426 = 2¹ × 3¹ × 11¹ × 31²

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 63426

List of positive integer factors of 63426 that divides 63414 without a remainder.

1, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 186, 341, 682, 961, 1023, 1922, 2046, 2883, 5766, 10571, 21142, 31713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63414 and 63426. The biggest common factor number is the GCF number.
So the greatest common factor 63414 and 63426 is 6.

Also check out the Least Common Multiple of 63414 and 63426