What is the Greatest Common Factor of 49101 and 49119?

Greatest common factor (GCF) of 49101 and 49119 is 3.

GCF(49101,49119) = 3

We will now calculate the prime factors of 49101 and 49119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49101 and 49119.

How to find the GCF of 49101 and 49119?

We will first find the prime factorization of 49101 and 49119. After we will calculate the factors of 49101 and 49119 and find the biggest common factor number .

Step-1: Prime Factorization of 49101

Prime factors of 49101 are 3, 13, 1259. Prime factorization of 49101 in exponential form is:

49101 = 3¹ × 13¹ × 1259¹

Step-2: Prime Factorization of 49119

Prime factors of 49119 are 3, 7, 2339. Prime factorization of 49119 in exponential form is:

49119 = 3¹ × 7¹ × 2339¹

Step-3: Factors of 49101

List of positive integer factors of 49101 that divides 49101 without a remainder.

1, 3, 13, 39, 1259, 3777, 16367

Step-4: Factors of 49119

List of positive integer factors of 49119 that divides 49101 without a remainder.

1, 3, 7, 21, 2339, 7017, 16373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49101 and 49119. The biggest common factor number is the GCF number.
So the greatest common factor 49101 and 49119 is 3.

Also check out the Least Common Multiple of 49101 and 49119