What is the Greatest Common Factor of 53000 and 53006?

Greatest common factor (GCF) of 53000 and 53006 is 2.

GCF(53000,53006) = 2

We will now calculate the prime factors of 53000 and 53006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53000 and 53006.

How to find the GCF of 53000 and 53006?

We will first find the prime factorization of 53000 and 53006. After we will calculate the factors of 53000 and 53006 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 53006

Prime factors of 53006 are 2, 17, 1559. Prime factorization of 53006 in exponential form is:

53006 = 2¹ × 17¹ × 1559¹

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 53006

List of positive integer factors of 53006 that divides 53000 without a remainder.

1, 2, 17, 34, 1559, 3118, 26503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53000 and 53006. The biggest common factor number is the GCF number.
So the greatest common factor 53000 and 53006 is 2.

Also check out the Least Common Multiple of 53000 and 53006