What is the Greatest Common Factor of 49074 and 49086?

Greatest common factor (GCF) of 49074 and 49086 is 6.

GCF(49074,49086) = 6

We will now calculate the prime factors of 49074 and 49086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49074 and 49086.

How to find the GCF of 49074 and 49086?

We will first find the prime factorization of 49074 and 49086. After we will calculate the factors of 49074 and 49086 and find the biggest common factor number .

Step-1: Prime Factorization of 49074

Prime factors of 49074 are 2, 3, 8179. Prime factorization of 49074 in exponential form is:

49074 = 2¹ × 3¹ × 8179¹

Step-2: 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-3: Factors of 49074

List of positive integer factors of 49074 that divides 49074 without a remainder.

1, 2, 3, 6, 8179, 16358, 24537

Step-4: Factors of 49086

List of positive integer factors of 49086 that divides 49074 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49074 and 49086. The biggest common factor number is the GCF number.
So the greatest common factor 49074 and 49086 is 6.

Also check out the Least Common Multiple of 49074 and 49086