What is the Greatest Common Factor of 49086 and 49104?

Greatest common factor (GCF) of 49086 and 49104 is 18.

GCF(49086,49104) = 18

We will now calculate the prime factors of 49086 and 49104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49086 and 49104.

How to find the GCF of 49086 and 49104?

We will first find the prime factorization of 49086 and 49104. After we will calculate the factors of 49086 and 49104 and find the biggest common factor number .

Step-1: Prime Factorization of 49086

Prime factors of 49086 are 2, 3, 101. Prime factorization of 49086 in exponential form is:

49086 = 2¹ × 3⁵ × 101¹

Step-2: Prime Factorization of 49104

Prime factors of 49104 are 2, 3, 11, 31. Prime factorization of 49104 in exponential form is:

49104 = 2⁴ × 3² × 11¹ × 31¹

Step-3: Factors of 49086

List of positive integer factors of 49086 that divides 49086 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 101, 162, 202, 243, 303, 486, 606, 909, 1818, 2727, 5454, 8181, 16362, 24543

Step-4: Factors of 49104

List of positive integer factors of 49104 that divides 49086 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 31, 33, 36, 44, 48, 62, 66, 72, 88, 93, 99, 124, 132, 144, 176, 186, 198, 248, 264, 279, 341, 372, 396, 496, 528, 558, 682, 744, 792, 1023, 1116, 1364, 1488, 1584, 2046, 2232, 2728, 3069, 4092, 4464, 5456, 6138, 8184, 12276, 16368, 24552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49086 and 49104. The biggest common factor number is the GCF number.
So the greatest common factor 49086 and 49104 is 18.

Also check out the Least Common Multiple of 49086 and 49104