What is the Greatest Common Factor of 49182 and 49196?

Greatest common factor (GCF) of 49182 and 49196 is 14.

GCF(49182,49196) = 14

We will now calculate the prime factors of 49182 and 49196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49182 and 49196.

How to find the GCF of 49182 and 49196?

We will first find the prime factorization of 49182 and 49196. After we will calculate the factors of 49182 and 49196 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49196

Prime factors of 49196 are 2, 7, 251. Prime factorization of 49196 in exponential form is:

49196 = 2² × 7² × 251¹

Step-3: Factors of 49182

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

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

Step-4: Factors of 49196

List of positive integer factors of 49196 that divides 49182 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 251, 502, 1004, 1757, 3514, 7028, 12299, 24598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49182 and 49196. The biggest common factor number is the GCF number.
So the greatest common factor 49182 and 49196 is 14.

Also check out the Least Common Multiple of 49182 and 49196