What is the Greatest Common Factor of 53151 and 53165?

Greatest common factor (GCF) of 53151 and 53165 is 7.

GCF(53151,53165) = 7

We will now calculate the prime factors of 53151 and 53165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53151 and 53165.

How to find the GCF of 53151 and 53165?

We will first find the prime factorization of 53151 and 53165. After we will calculate the factors of 53151 and 53165 and find the biggest common factor number .

Step-1: Prime Factorization of 53151

Prime factors of 53151 are 3, 7, 2531. Prime factorization of 53151 in exponential form is:

53151 = 3¹ × 7¹ × 2531¹

Step-2: Prime Factorization of 53165

Prime factors of 53165 are 5, 7, 31. Prime factorization of 53165 in exponential form is:

53165 = 5¹ × 7³ × 31¹

Step-3: Factors of 53151

List of positive integer factors of 53151 that divides 53151 without a remainder.

1, 3, 7, 21, 2531, 7593, 17717

Step-4: Factors of 53165

List of positive integer factors of 53165 that divides 53151 without a remainder.

1, 5, 7, 31, 35, 49, 155, 217, 245, 343, 1085, 1519, 1715, 7595, 10633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53151 and 53165. The biggest common factor number is the GCF number.
So the greatest common factor 53151 and 53165 is 7.

Also check out the Least Common Multiple of 53151 and 53165