What is the Greatest Common Factor of 55436 and 55448?

Greatest common factor (GCF) of 55436 and 55448 is 4.

GCF(55436,55448) = 4

We will now calculate the prime factors of 55436 and 55448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55436 and 55448.

How to find the GCF of 55436 and 55448?

We will first find the prime factorization of 55436 and 55448. After we will calculate the factors of 55436 and 55448 and find the biggest common factor number .

Step-1: Prime Factorization of 55436

Prime factors of 55436 are 2, 13859. Prime factorization of 55436 in exponential form is:

55436 = 2² × 13859¹

Step-2: Prime Factorization of 55448

Prime factors of 55448 are 2, 29, 239. Prime factorization of 55448 in exponential form is:

55448 = 2³ × 29¹ × 239¹

Step-3: Factors of 55436

List of positive integer factors of 55436 that divides 55436 without a remainder.

1, 2, 4, 13859, 27718

Step-4: Factors of 55448

List of positive integer factors of 55448 that divides 55436 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 239, 478, 956, 1912, 6931, 13862, 27724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55436 and 55448. The biggest common factor number is the GCF number.
So the greatest common factor 55436 and 55448 is 4.

Also check out the Least Common Multiple of 55436 and 55448