What is the Greatest Common Factor of 55125 and 55132?

Greatest common factor (GCF) of 55125 and 55132 is 7.

GCF(55125,55132) = 7

We will now calculate the prime factors of 55125 and 55132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55125 and 55132.

How to find the GCF of 55125 and 55132?

We will first find the prime factorization of 55125 and 55132. After we will calculate the factors of 55125 and 55132 and find the biggest common factor number .

Step-1: Prime Factorization of 55125

Prime factors of 55125 are 3, 5, 7. Prime factorization of 55125 in exponential form is:

55125 = 3² × 5³ × 7²

Step-2: 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-3: Factors of 55125

List of positive integer factors of 55125 that divides 55125 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 125, 147, 175, 225, 245, 315, 375, 441, 525, 735, 875, 1125, 1225, 1575, 2205, 2625, 3675, 6125, 7875, 11025, 18375

Step-4: Factors of 55132

List of positive integer factors of 55132 that divides 55125 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55125 and 55132. The biggest common factor number is the GCF number.
So the greatest common factor 55125 and 55132 is 7.

Also check out the Least Common Multiple of 55125 and 55132