What is the Greatest Common Factor of 49905 and 49914?

Greatest common factor (GCF) of 49905 and 49914 is 9.

GCF(49905,49914) = 9

We will now calculate the prime factors of 49905 and 49914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49905 and 49914.

How to find the GCF of 49905 and 49914?

We will first find the prime factorization of 49905 and 49914. After we will calculate the factors of 49905 and 49914 and find the biggest common factor number .

Step-1: Prime Factorization of 49905

Prime factors of 49905 are 3, 5, 1109. Prime factorization of 49905 in exponential form is:

49905 = 3² × 5¹ × 1109¹

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 49905

List of positive integer factors of 49905 that divides 49905 without a remainder.

1, 3, 5, 9, 15, 45, 1109, 3327, 5545, 9981, 16635

Step-4: Factors of 49914

List of positive integer factors of 49914 that divides 49905 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 49905 and 49914. The biggest common factor number is the GCF number.
So the greatest common factor 49905 and 49914 is 9.

Also check out the Least Common Multiple of 49905 and 49914