What is the Greatest Common Factor of 53001 and 53019?

Greatest common factor (GCF) of 53001 and 53019 is 9.

GCF(53001,53019) = 9

We will now calculate the prime factors of 53001 and 53019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53001 and 53019.

How to find the GCF of 53001 and 53019?

We will first find the prime factorization of 53001 and 53019. After we will calculate the factors of 53001 and 53019 and find the biggest common factor number .

Step-1: Prime Factorization of 53001

Prime factors of 53001 are 3, 13, 151. Prime factorization of 53001 in exponential form is:

53001 = 3³ × 13¹ × 151¹

Step-2: Prime Factorization of 53019

Prime factors of 53019 are 3, 43, 137. Prime factorization of 53019 in exponential form is:

53019 = 3² × 43¹ × 137¹

Step-3: Factors of 53001

List of positive integer factors of 53001 that divides 53001 without a remainder.

1, 3, 9, 13, 27, 39, 117, 151, 351, 453, 1359, 1963, 4077, 5889, 17667

Step-4: Factors of 53019

List of positive integer factors of 53019 that divides 53001 without a remainder.

1, 3, 9, 43, 129, 137, 387, 411, 1233, 5891, 17673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53001 and 53019. The biggest common factor number is the GCF number.
So the greatest common factor 53001 and 53019 is 9.

Also check out the Least Common Multiple of 53001 and 53019