What is the Greatest Common Factor of 55538 and 55552?

Greatest common factor (GCF) of 55538 and 55552 is 14.

GCF(55538,55552) = 14

We will now calculate the prime factors of 55538 and 55552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55538 and 55552.

How to find the GCF of 55538 and 55552?

We will first find the prime factorization of 55538 and 55552. After we will calculate the factors of 55538 and 55552 and find the biggest common factor number .

Step-1: Prime Factorization of 55538

Prime factors of 55538 are 2, 7, 3967. Prime factorization of 55538 in exponential form is:

55538 = 2¹ × 7¹ × 3967¹

Step-2: 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-3: Factors of 55538

List of positive integer factors of 55538 that divides 55538 without a remainder.

1, 2, 7, 14, 3967, 7934, 27769

Step-4: Factors of 55552

List of positive integer factors of 55552 that divides 55538 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55538 and 55552. The biggest common factor number is the GCF number.
So the greatest common factor 55538 and 55552 is 14.

Also check out the Least Common Multiple of 55538 and 55552