What is the Greatest Common Factor of 49196 and 49201?

Greatest common factor (GCF) of 49196 and 49201 is 1.

GCF(49196,49201) = 1

We will now calculate the prime factors of 49196 and 49201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49196 and 49201.

How to find the GCF of 49196 and 49201?

We will first find the prime factorization of 49196 and 49201. After we will calculate the factors of 49196 and 49201 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49201

Prime factors of 49201 are 49201. Prime factorization of 49201 in exponential form is:

49201 = 49201¹

Step-3: Factors of 49196

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

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

Step-4: Factors of 49201

List of positive integer factors of 49201 that divides 49196 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49196 and 49201. The biggest common factor number is the GCF number.
So the greatest common factor 49196 and 49201 is 1.

Also check out the Least Common Multiple of 49196 and 49201