What is the Greatest Common Factor of 53159 and 53174?

Greatest common factor (GCF) of 53159 and 53174 is 1.

GCF(53159,53174) = 1

We will now calculate the prime factors of 53159 and 53174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53159 and 53174.

How to find the GCF of 53159 and 53174?

We will first find the prime factorization of 53159 and 53174. After we will calculate the factors of 53159 and 53174 and find the biggest common factor number .

Step-1: Prime Factorization of 53159

Prime factors of 53159 are 17, 53, 59. Prime factorization of 53159 in exponential form is:

53159 = 17¹ × 53¹ × 59¹

Step-2: Prime Factorization of 53174

Prime factors of 53174 are 2, 11, 2417. Prime factorization of 53174 in exponential form is:

53174 = 2¹ × 11¹ × 2417¹

Step-3: Factors of 53159

List of positive integer factors of 53159 that divides 53159 without a remainder.

1, 17, 53, 59, 901, 1003, 3127

Step-4: Factors of 53174

List of positive integer factors of 53174 that divides 53159 without a remainder.

1, 2, 11, 22, 2417, 4834, 26587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53159 and 53174. The biggest common factor number is the GCF number.
So the greatest common factor 53159 and 53174 is 1.

Also check out the Least Common Multiple of 53159 and 53174