What is the Greatest Common Factor of 52982 and 53000?

Greatest common factor (GCF) of 52982 and 53000 is 2.

GCF(52982,53000) = 2

We will now calculate the prime factors of 52982 and 53000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52982 and 53000.

How to find the GCF of 52982 and 53000?

We will first find the prime factorization of 52982 and 53000. After we will calculate the factors of 52982 and 53000 and find the biggest common factor number .

Step-1: Prime Factorization of 52982

Prime factors of 52982 are 2, 59, 449. Prime factorization of 52982 in exponential form is:

52982 = 2¹ × 59¹ × 449¹

Step-2: 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-3: Factors of 52982

List of positive integer factors of 52982 that divides 52982 without a remainder.

1, 2, 59, 118, 449, 898, 26491

Step-4: Factors of 53000

List of positive integer factors of 53000 that divides 52982 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52982 and 53000. The biggest common factor number is the GCF number.
So the greatest common factor 52982 and 53000 is 2.

Also check out the Least Common Multiple of 52982 and 53000