What is the Greatest Common Factor of 49929 and 49946?

Greatest common factor (GCF) of 49929 and 49946 is 17.

GCF(49929,49946) = 17

We will now calculate the prime factors of 49929 and 49946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49929 and 49946.

How to find the GCF of 49929 and 49946?

We will first find the prime factorization of 49929 and 49946. After we will calculate the factors of 49929 and 49946 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49946

Prime factors of 49946 are 2, 13, 17, 113. Prime factorization of 49946 in exponential form is:

49946 = 2¹ × 13¹ × 17¹ × 113¹

Step-3: Factors of 49929

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

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

Step-4: Factors of 49946

List of positive integer factors of 49946 that divides 49929 without a remainder.

1, 2, 13, 17, 26, 34, 113, 221, 226, 442, 1469, 1921, 2938, 3842, 24973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49929 and 49946. The biggest common factor number is the GCF number.
So the greatest common factor 49929 and 49946 is 17.

Also check out the Least Common Multiple of 49929 and 49946