What is the Greatest Common Factor of 53196 and 53201?

Greatest common factor (GCF) of 53196 and 53201 is 1.

GCF(53196,53201) = 1

We will now calculate the prime factors of 53196 and 53201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53196 and 53201.

How to find the GCF of 53196 and 53201?

We will first find the prime factorization of 53196 and 53201. After we will calculate the factors of 53196 and 53201 and find the biggest common factor number .

Step-1: Prime Factorization of 53196

Prime factors of 53196 are 2, 3, 11, 13, 31. Prime factorization of 53196 in exponential form is:

53196 = 2² × 3¹ × 11¹ × 13¹ × 31¹

Step-2: Prime Factorization of 53201

Prime factors of 53201 are 53201. Prime factorization of 53201 in exponential form is:

53201 = 53201¹

Step-3: Factors of 53196

List of positive integer factors of 53196 that divides 53196 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 31, 33, 39, 44, 52, 62, 66, 78, 93, 124, 132, 143, 156, 186, 286, 341, 372, 403, 429, 572, 682, 806, 858, 1023, 1209, 1364, 1612, 1716, 2046, 2418, 4092, 4433, 4836, 8866, 13299, 17732, 26598

Step-4: Factors of 53201

List of positive integer factors of 53201 that divides 53196 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53196 and 53201. The biggest common factor number is the GCF number.
So the greatest common factor 53196 and 53201 is 1.

Also check out the Least Common Multiple of 53196 and 53201