What is the Greatest Common Factor of 53000 and 53009?

Greatest common factor (GCF) of 53000 and 53009 is 1.

GCF(53000,53009) = 1

We will now calculate the prime factors of 53000 and 53009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53000 and 53009.

How to find the GCF of 53000 and 53009?

We will first find the prime factorization of 53000 and 53009. After we will calculate the factors of 53000 and 53009 and find the biggest common factor number .

Step-1: Prime Factorization of 53000

Prime factors of 53000 are 2, 5, 53. Prime factorization of 53000 in exponential form is:

53000 = 2³ × 5³ × 53¹

Step-2: Prime Factorization of 53009

Prime factors of 53009 are 11, 61, 79. Prime factorization of 53009 in exponential form is:

53009 = 11¹ × 61¹ × 79¹

Step-3: Factors of 53000

List of positive integer factors of 53000 that divides 53000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 53, 100, 106, 125, 200, 212, 250, 265, 424, 500, 530, 1000, 1060, 1325, 2120, 2650, 5300, 6625, 10600, 13250, 26500

Step-4: Factors of 53009

List of positive integer factors of 53009 that divides 53000 without a remainder.

1, 11, 61, 79, 671, 869, 4819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53000 and 53009. The biggest common factor number is the GCF number.
So the greatest common factor 53000 and 53009 is 1.

Also check out the Least Common Multiple of 53000 and 53009