What is the Greatest Common Factor of 49179 and 49192?

Greatest common factor (GCF) of 49179 and 49192 is 13.

GCF(49179,49192) = 13

We will now calculate the prime factors of 49179 and 49192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49179 and 49192.

How to find the GCF of 49179 and 49192?

We will first find the prime factorization of 49179 and 49192. After we will calculate the factors of 49179 and 49192 and find the biggest common factor number .

Step-1: Prime Factorization of 49179

Prime factors of 49179 are 3, 13, 97. Prime factorization of 49179 in exponential form is:

49179 = 3¹ × 13² × 97¹

Step-2: Prime Factorization of 49192

Prime factors of 49192 are 2, 11, 13, 43. Prime factorization of 49192 in exponential form is:

49192 = 2³ × 11¹ × 13¹ × 43¹

Step-3: Factors of 49179

List of positive integer factors of 49179 that divides 49179 without a remainder.

1, 3, 13, 39, 97, 169, 291, 507, 1261, 3783, 16393

Step-4: Factors of 49192

List of positive integer factors of 49192 that divides 49179 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 43, 44, 52, 86, 88, 104, 143, 172, 286, 344, 473, 559, 572, 946, 1118, 1144, 1892, 2236, 3784, 4472, 6149, 12298, 24596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49179 and 49192. The biggest common factor number is the GCF number.
So the greatest common factor 49179 and 49192 is 13.

Also check out the Least Common Multiple of 49179 and 49192