What is the Greatest Common Factor of 63456 and 63476?

Greatest common factor (GCF) of 63456 and 63476 is 4.

GCF(63456,63476) = 4

We will now calculate the prime factors of 63456 and 63476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63456 and 63476.

How to find the GCF of 63456 and 63476?

We will first find the prime factorization of 63456 and 63476. After we will calculate the factors of 63456 and 63476 and find the biggest common factor number .

Step-1: Prime Factorization of 63456

Prime factors of 63456 are 2, 3, 661. Prime factorization of 63456 in exponential form is:

63456 = 2⁵ × 3¹ × 661¹

Step-2: Prime Factorization of 63476

Prime factors of 63476 are 2, 7, 2267. Prime factorization of 63476 in exponential form is:

63476 = 2² × 7¹ × 2267¹

Step-3: Factors of 63456

List of positive integer factors of 63456 that divides 63456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 661, 1322, 1983, 2644, 3966, 5288, 7932, 10576, 15864, 21152, 31728

Step-4: Factors of 63476

List of positive integer factors of 63476 that divides 63456 without a remainder.

1, 2, 4, 7, 14, 28, 2267, 4534, 9068, 15869, 31738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63456 and 63476. The biggest common factor number is the GCF number.
So the greatest common factor 63456 and 63476 is 4.

Also check out the Least Common Multiple of 63456 and 63476