What is the Greatest Common Factor of 49416 and 49421?

Greatest common factor (GCF) of 49416 and 49421 is 1.

GCF(49416,49421) = 1

We will now calculate the prime factors of 49416 and 49421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49416 and 49421.

How to find the GCF of 49416 and 49421?

We will first find the prime factorization of 49416 and 49421. After we will calculate the factors of 49416 and 49421 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 49421

Prime factors of 49421 are 73, 677. Prime factorization of 49421 in exponential form is:

49421 = 73¹ × 677¹

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 49421

List of positive integer factors of 49421 that divides 49416 without a remainder.

1, 73, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49416 and 49421. The biggest common factor number is the GCF number.
So the greatest common factor 49416 and 49421 is 1.

Also check out the Least Common Multiple of 49416 and 49421