What is the Greatest Common Factor of 4456 and 4476?

Greatest common factor (GCF) of 4456 and 4476 is 4.

GCF(4456,4476) = 4

We will now calculate the prime factors of 4456 and 4476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4456 and 4476.

How to find the GCF of 4456 and 4476?

We will first find the prime factorization of 4456 and 4476. After we will calculate the factors of 4456 and 4476 and find the biggest common factor number .

Step-1: Prime Factorization of 4456

Prime factors of 4456 are 2, 557. Prime factorization of 4456 in exponential form is:

4456 = 2³ × 557¹

Step-2: Prime Factorization of 4476

Prime factors of 4476 are 2, 3, 373. Prime factorization of 4476 in exponential form is:

4476 = 2² × 3¹ × 373¹

Step-3: Factors of 4456

List of positive integer factors of 4456 that divides 4456 without a remainder.

1, 2, 4, 8, 557, 1114, 2228

Step-4: Factors of 4476

List of positive integer factors of 4476 that divides 4456 without a remainder.

1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4456 and 4476. The biggest common factor number is the GCF number.
So the greatest common factor 4456 and 4476 is 4.

Also check out the Least Common Multiple of 4456 and 4476