What is the Greatest Common Factor of 49914 and 49932?

Greatest common factor (GCF) of 49914 and 49932 is 18.

GCF(49914,49932) = 18

We will now calculate the prime factors of 49914 and 49932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49914 and 49932.

How to find the GCF of 49914 and 49932?

We will first find the prime factorization of 49914 and 49932. After we will calculate the factors of 49914 and 49932 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49932

Prime factors of 49932 are 2, 3, 19, 73. Prime factorization of 49932 in exponential form is:

49932 = 2² × 3² × 19¹ × 73¹

Step-3: Factors of 49914

List of positive integer factors of 49914 that divides 49914 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

Step-4: Factors of 49932

List of positive integer factors of 49932 that divides 49914 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 73, 76, 114, 146, 171, 219, 228, 292, 342, 438, 657, 684, 876, 1314, 1387, 2628, 2774, 4161, 5548, 8322, 12483, 16644, 24966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49914 and 49932. The biggest common factor number is the GCF number.
So the greatest common factor 49914 and 49932 is 18.

Also check out the Least Common Multiple of 49914 and 49932