What is the Greatest Common Factor of 49416 and 49423?

Greatest common factor (GCF) of 49416 and 49423 is 1.

GCF(49416,49423) = 1

We will now calculate the prime factors of 49416 and 49423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49416 and 49423.

How to find the GCF of 49416 and 49423?

We will first find the prime factorization of 49416 and 49423. After we will calculate the factors of 49416 and 49423 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 49423

Prime factors of 49423 are 11, 4493. Prime factorization of 49423 in exponential form is:

49423 = 11¹ × 4493¹

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 49423

List of positive integer factors of 49423 that divides 49416 without a remainder.

1, 11, 4493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49416 and 49423. The biggest common factor number is the GCF number.
So the greatest common factor 49416 and 49423 is 1.

Also check out the Least Common Multiple of 49416 and 49423