What is the Greatest Common Factor of 53000 and 53004?

Greatest common factor (GCF) of 53000 and 53004 is 4.

GCF(53000,53004) = 4

We will now calculate the prime factors of 53000 and 53004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53000 and 53004.

How to find the GCF of 53000 and 53004?

We will first find the prime factorization of 53000 and 53004. After we will calculate the factors of 53000 and 53004 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 53004

Prime factors of 53004 are 2, 3, 7, 631. Prime factorization of 53004 in exponential form is:

53004 = 2² × 3¹ × 7¹ × 631¹

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 53004

List of positive integer factors of 53004 that divides 53000 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 631, 1262, 1893, 2524, 3786, 4417, 7572, 8834, 13251, 17668, 26502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53000 and 53004. The biggest common factor number is the GCF number.
So the greatest common factor 53000 and 53004 is 4.

Also check out the Least Common Multiple of 53000 and 53004