What is the Greatest Common Factor of 49912 and 49929?

Greatest common factor (GCF) of 49912 and 49929 is 17.

GCF(49912,49929) = 17

We will now calculate the prime factors of 49912 and 49929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49912 and 49929.

How to find the GCF of 49912 and 49929?

We will first find the prime factorization of 49912 and 49929. After we will calculate the factors of 49912 and 49929 and find the biggest common factor number .

Step-1: Prime Factorization of 49912

Prime factors of 49912 are 2, 17, 367. Prime factorization of 49912 in exponential form is:

49912 = 2³ × 17¹ × 367¹

Step-2: Prime Factorization of 49929

Prime factors of 49929 are 3, 11, 17, 89. Prime factorization of 49929 in exponential form is:

49929 = 3¹ × 11¹ × 17¹ × 89¹

Step-3: Factors of 49912

List of positive integer factors of 49912 that divides 49912 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 367, 734, 1468, 2936, 6239, 12478, 24956

Step-4: Factors of 49929

List of positive integer factors of 49929 that divides 49912 without a remainder.

1, 3, 11, 17, 33, 51, 89, 187, 267, 561, 979, 1513, 2937, 4539, 16643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49912 and 49929. The biggest common factor number is the GCF number.
So the greatest common factor 49912 and 49929 is 17.

Also check out the Least Common Multiple of 49912 and 49929