What is the Greatest Common Factor of 49134 and 49143?

Greatest common factor (GCF) of 49134 and 49143 is 3.

GCF(49134,49143) = 3

We will now calculate the prime factors of 49134 and 49143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49134 and 49143.

How to find the GCF of 49134 and 49143?

We will first find the prime factorization of 49134 and 49143. After we will calculate the factors of 49134 and 49143 and find the biggest common factor number .

Step-1: Prime Factorization of 49134

Prime factors of 49134 are 2, 3, 19, 431. Prime factorization of 49134 in exponential form is:

49134 = 2¹ × 3¹ × 19¹ × 431¹

Step-2: Prime Factorization of 49143

Prime factors of 49143 are 3, 16381. Prime factorization of 49143 in exponential form is:

49143 = 3¹ × 16381¹

Step-3: Factors of 49134

List of positive integer factors of 49134 that divides 49134 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 431, 862, 1293, 2586, 8189, 16378, 24567

Step-4: Factors of 49143

List of positive integer factors of 49143 that divides 49134 without a remainder.

1, 3, 16381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49134 and 49143. The biggest common factor number is the GCF number.
So the greatest common factor 49134 and 49143 is 3.

Also check out the Least Common Multiple of 49134 and 49143