What is the Greatest Common Factor of 51180 and 51184?

Greatest common factor (GCF) of 51180 and 51184 is 4.

GCF(51180,51184) = 4

We will now calculate the prime factors of 51180 and 51184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51180 and 51184.

How to find the GCF of 51180 and 51184?

We will first find the prime factorization of 51180 and 51184. After we will calculate the factors of 51180 and 51184 and find the biggest common factor number .

Step-1: Prime Factorization of 51180

Prime factors of 51180 are 2, 3, 5, 853. Prime factorization of 51180 in exponential form is:

51180 = 2² × 3¹ × 5¹ × 853¹

Step-2: Prime Factorization of 51184

Prime factors of 51184 are 2, 7, 457. Prime factorization of 51184 in exponential form is:

51184 = 2⁴ × 7¹ × 457¹

Step-3: Factors of 51180

List of positive integer factors of 51180 that divides 51180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 853, 1706, 2559, 3412, 4265, 5118, 8530, 10236, 12795, 17060, 25590

Step-4: Factors of 51184

List of positive integer factors of 51184 that divides 51180 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 457, 914, 1828, 3199, 3656, 6398, 7312, 12796, 25592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51180 and 51184. The biggest common factor number is the GCF number.
So the greatest common factor 51180 and 51184 is 4.

Also check out the Least Common Multiple of 51180 and 51184