What is the Greatest Common Factor of 53000 and 53008?

Greatest common factor (GCF) of 53000 and 53008 is 8.

GCF(53000,53008) = 8

We will now calculate the prime factors of 53000 and 53008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53000 and 53008.

How to find the GCF of 53000 and 53008?

We will first find the prime factorization of 53000 and 53008. After we will calculate the factors of 53000 and 53008 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 53008

Prime factors of 53008 are 2, 3313. Prime factorization of 53008 in exponential form is:

53008 = 2⁴ × 3313¹

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 53008

List of positive integer factors of 53008 that divides 53000 without a remainder.

1, 2, 4, 8, 16, 3313, 6626, 13252, 26504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53000 and 53008. The biggest common factor number is the GCF number.
So the greatest common factor 53000 and 53008 is 8.

Also check out the Least Common Multiple of 53000 and 53008