What is the Greatest Common Factor of 49416 and 49431?

Greatest common factor (GCF) of 49416 and 49431 is 3.

GCF(49416,49431) = 3

We will now calculate the prime factors of 49416 and 49431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49416 and 49431.

How to find the GCF of 49416 and 49431?

We will first find the prime factorization of 49416 and 49431. After we will calculate the factors of 49416 and 49431 and find the biggest common factor number .

Step-1: Prime Factorization of 49416

Prime factors of 49416 are 2, 3, 29, 71. Prime factorization of 49416 in exponential form is:

49416 = 2³ × 3¹ × 29¹ × 71¹

Step-2: Prime Factorization of 49431

Prime factors of 49431 are 3, 16477. Prime factorization of 49431 in exponential form is:

49431 = 3¹ × 16477¹

Step-3: Factors of 49416

List of positive integer factors of 49416 that divides 49416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 71, 87, 116, 142, 174, 213, 232, 284, 348, 426, 568, 696, 852, 1704, 2059, 4118, 6177, 8236, 12354, 16472, 24708

Step-4: Factors of 49431

List of positive integer factors of 49431 that divides 49416 without a remainder.

1, 3, 16477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49416 and 49431. The biggest common factor number is the GCF number.
So the greatest common factor 49416 and 49431 is 3.

Also check out the Least Common Multiple of 49416 and 49431