What is the Greatest Common Factor of 50932 and 50949?

Greatest common factor (GCF) of 50932 and 50949 is 17.

GCF(50932,50949) = 17

We will now calculate the prime factors of 50932 and 50949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50932 and 50949.

How to find the GCF of 50932 and 50949?

We will first find the prime factorization of 50932 and 50949. After we will calculate the factors of 50932 and 50949 and find the biggest common factor number .

Step-1: Prime Factorization of 50932

Prime factors of 50932 are 2, 7, 17, 107. Prime factorization of 50932 in exponential form is:

50932 = 2² × 7¹ × 17¹ × 107¹

Step-2: Prime Factorization of 50949

Prime factors of 50949 are 3, 17, 37. Prime factorization of 50949 in exponential form is:

50949 = 3⁴ × 17¹ × 37¹

Step-3: Factors of 50932

List of positive integer factors of 50932 that divides 50932 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 107, 119, 214, 238, 428, 476, 749, 1498, 1819, 2996, 3638, 7276, 12733, 25466

Step-4: Factors of 50949

List of positive integer factors of 50949 that divides 50932 without a remainder.

1, 3, 9, 17, 27, 37, 51, 81, 111, 153, 333, 459, 629, 999, 1377, 1887, 2997, 5661, 16983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50932 and 50949. The biggest common factor number is the GCF number.
So the greatest common factor 50932 and 50949 is 17.

Also check out the Least Common Multiple of 50932 and 50949