What is the Greatest Common Factor of 52084 and 52104?

Greatest common factor (GCF) of 52084 and 52104 is 4.

GCF(52084,52104) = 4

We will now calculate the prime factors of 52084 and 52104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52084 and 52104.

How to find the GCF of 52084 and 52104?

We will first find the prime factorization of 52084 and 52104. After we will calculate the factors of 52084 and 52104 and find the biggest common factor number .

Step-1: Prime Factorization of 52084

Prime factors of 52084 are 2, 29, 449. Prime factorization of 52084 in exponential form is:

52084 = 2² × 29¹ × 449¹

Step-2: Prime Factorization of 52104

Prime factors of 52104 are 2, 3, 13, 167. Prime factorization of 52104 in exponential form is:

52104 = 2³ × 3¹ × 13¹ × 167¹

Step-3: Factors of 52084

List of positive integer factors of 52084 that divides 52084 without a remainder.

1, 2, 4, 29, 58, 116, 449, 898, 1796, 13021, 26042

Step-4: Factors of 52104

List of positive integer factors of 52104 that divides 52084 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 167, 312, 334, 501, 668, 1002, 1336, 2004, 2171, 4008, 4342, 6513, 8684, 13026, 17368, 26052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52084 and 52104. The biggest common factor number is the GCF number.
So the greatest common factor 52084 and 52104 is 4.

Also check out the Least Common Multiple of 52084 and 52104