What is the Greatest Common Factor of 49164 and 49182?

Greatest common factor (GCF) of 49164 and 49182 is 6.

GCF(49164,49182) = 6

We will now calculate the prime factors of 49164 and 49182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49164 and 49182.

How to find the GCF of 49164 and 49182?

We will first find the prime factorization of 49164 and 49182. After we will calculate the factors of 49164 and 49182 and find the biggest common factor number .

Step-1: Prime Factorization of 49164

Prime factors of 49164 are 2, 3, 17, 241. Prime factorization of 49164 in exponential form is:

49164 = 2² × 3¹ × 17¹ × 241¹

Step-2: Prime Factorization of 49182

Prime factors of 49182 are 2, 3, 7, 1171. Prime factorization of 49182 in exponential form is:

49182 = 2¹ × 3¹ × 7¹ × 1171¹

Step-3: Factors of 49164

List of positive integer factors of 49164 that divides 49164 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 241, 482, 723, 964, 1446, 2892, 4097, 8194, 12291, 16388, 24582

Step-4: Factors of 49182

List of positive integer factors of 49182 that divides 49164 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1171, 2342, 3513, 7026, 8197, 16394, 24591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49164 and 49182. The biggest common factor number is the GCF number.
So the greatest common factor 49164 and 49182 is 6.

Also check out the Least Common Multiple of 49164 and 49182