What is the Greatest Common Factor of 49134 and 49153?

Greatest common factor (GCF) of 49134 and 49153 is 19.

GCF(49134,49153) = 19

We will now calculate the prime factors of 49134 and 49153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49134 and 49153.

How to find the GCF of 49134 and 49153?

We will first find the prime factorization of 49134 and 49153. After we will calculate the factors of 49134 and 49153 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 49153

Prime factors of 49153 are 13, 19, 199. Prime factorization of 49153 in exponential form is:

49153 = 13¹ × 19¹ × 199¹

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 49153

List of positive integer factors of 49153 that divides 49134 without a remainder.

1, 13, 19, 199, 247, 2587, 3781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49134 and 49153. The biggest common factor number is the GCF number.
So the greatest common factor 49134 and 49153 is 19.

Also check out the Least Common Multiple of 49134 and 49153