What is the Greatest Common Factor of 48994 and 49011?

Greatest common factor (GCF) of 48994 and 49011 is 17.

GCF(48994,49011) = 17

We will now calculate the prime factors of 48994 and 49011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48994 and 49011.

How to find the GCF of 48994 and 49011?

We will first find the prime factorization of 48994 and 49011. After we will calculate the factors of 48994 and 49011 and find the biggest common factor number .

Step-1: Prime Factorization of 48994

Prime factors of 48994 are 2, 11, 17, 131. Prime factorization of 48994 in exponential form is:

48994 = 2¹ × 11¹ × 17¹ × 131¹

Step-2: Prime Factorization of 49011

Prime factors of 49011 are 3, 17, 31. Prime factorization of 49011 in exponential form is:

49011 = 3¹ × 17¹ × 31²

Step-3: Factors of 48994

List of positive integer factors of 48994 that divides 48994 without a remainder.

1, 2, 11, 17, 22, 34, 131, 187, 262, 374, 1441, 2227, 2882, 4454, 24497

Step-4: Factors of 49011

List of positive integer factors of 49011 that divides 48994 without a remainder.

1, 3, 17, 31, 51, 93, 527, 961, 1581, 2883, 16337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48994 and 49011. The biggest common factor number is the GCF number.
So the greatest common factor 48994 and 49011 is 17.

Also check out the Least Common Multiple of 48994 and 49011