What is the Greatest Common Factor of 55132 and 55152?

Greatest common factor (GCF) of 55132 and 55152 is 4.

GCF(55132,55152) = 4

We will now calculate the prime factors of 55132 and 55152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55132 and 55152.

How to find the GCF of 55132 and 55152?

We will first find the prime factorization of 55132 and 55152. After we will calculate the factors of 55132 and 55152 and find the biggest common factor number .

Step-1: Prime Factorization of 55132

Prime factors of 55132 are 2, 7, 11, 179. Prime factorization of 55132 in exponential form is:

55132 = 2² × 7¹ × 11¹ × 179¹

Step-2: 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-3: Factors of 55132

List of positive integer factors of 55132 that divides 55132 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 179, 308, 358, 716, 1253, 1969, 2506, 3938, 5012, 7876, 13783, 27566

Step-4: Factors of 55152

List of positive integer factors of 55152 that divides 55132 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55132 and 55152. The biggest common factor number is the GCF number.
So the greatest common factor 55132 and 55152 is 4.

Also check out the Least Common Multiple of 55132 and 55152