What is the Greatest Common Factor of 55152 and 55160?

Greatest common factor (GCF) of 55152 and 55160 is 8.

GCF(55152,55160) = 8

We will now calculate the prime factors of 55152 and 55160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55152 and 55160.

How to find the GCF of 55152 and 55160?

We will first find the prime factorization of 55152 and 55160. After we will calculate the factors of 55152 and 55160 and find the biggest common factor number .

Step-1: Prime Factorization of 55152

Prime factors of 55152 are 2, 3, 383. Prime factorization of 55152 in exponential form is:

55152 = 2⁴ × 3² × 383¹

Step-2: Prime Factorization of 55160

Prime factors of 55160 are 2, 5, 7, 197. Prime factorization of 55160 in exponential form is:

55160 = 2³ × 5¹ × 7¹ × 197¹

Step-3: Factors of 55152

List of positive integer factors of 55152 that divides 55152 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 383, 766, 1149, 1532, 2298, 3064, 3447, 4596, 6128, 6894, 9192, 13788, 18384, 27576

Step-4: Factors of 55160

List of positive integer factors of 55160 that divides 55152 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 197, 280, 394, 788, 985, 1379, 1576, 1970, 2758, 3940, 5516, 6895, 7880, 11032, 13790, 27580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55152 and 55160. The biggest common factor number is the GCF number.
So the greatest common factor 55152 and 55160 is 8.

Also check out the Least Common Multiple of 55152 and 55160