What is the Greatest Common Factor of 55552 and 55564?

Greatest common factor (GCF) of 55552 and 55564 is 4.

GCF(55552,55564) = 4

We will now calculate the prime factors of 55552 and 55564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55552 and 55564.

How to find the GCF of 55552 and 55564?

We will first find the prime factorization of 55552 and 55564. After we will calculate the factors of 55552 and 55564 and find the biggest common factor number .

Step-1: Prime Factorization of 55552

Prime factors of 55552 are 2, 7, 31. Prime factorization of 55552 in exponential form is:

55552 = 2⁸ × 7¹ × 31¹

Step-2: Prime Factorization of 55564

Prime factors of 55564 are 2, 29, 479. Prime factorization of 55564 in exponential form is:

55564 = 2² × 29¹ × 479¹

Step-3: Factors of 55552

List of positive integer factors of 55552 that divides 55552 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 64, 112, 124, 128, 217, 224, 248, 256, 434, 448, 496, 868, 896, 992, 1736, 1792, 1984, 3472, 3968, 6944, 7936, 13888, 27776

Step-4: Factors of 55564

List of positive integer factors of 55564 that divides 55552 without a remainder.

1, 2, 4, 29, 58, 116, 479, 958, 1916, 13891, 27782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55552 and 55564. The biggest common factor number is the GCF number.
So the greatest common factor 55552 and 55564 is 4.

Also check out the Least Common Multiple of 55552 and 55564