What is the Greatest Common Factor of 49898 and 49914?

Greatest common factor (GCF) of 49898 and 49914 is 2.

GCF(49898,49914) = 2

We will now calculate the prime factors of 49898 and 49914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49898 and 49914.

How to find the GCF of 49898 and 49914?

We will first find the prime factorization of 49898 and 49914. After we will calculate the factors of 49898 and 49914 and find the biggest common factor number .

Step-1: Prime Factorization of 49898

Prime factors of 49898 are 2, 61, 409. Prime factorization of 49898 in exponential form is:

49898 = 2¹ × 61¹ × 409¹

Step-2: Prime Factorization of 49914

Prime factors of 49914 are 2, 3, 47, 59. Prime factorization of 49914 in exponential form is:

49914 = 2¹ × 3² × 47¹ × 59¹

Step-3: Factors of 49898

List of positive integer factors of 49898 that divides 49898 without a remainder.

1, 2, 61, 122, 409, 818, 24949

Step-4: Factors of 49914

List of positive integer factors of 49914 that divides 49898 without a remainder.

1, 2, 3, 6, 9, 18, 47, 59, 94, 118, 141, 177, 282, 354, 423, 531, 846, 1062, 2773, 5546, 8319, 16638, 24957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49898 and 49914. The biggest common factor number is the GCF number.
So the greatest common factor 49898 and 49914 is 2.

Also check out the Least Common Multiple of 49898 and 49914