What is the Greatest Common Factor of 53400 and 53405?

Greatest common factor (GCF) of 53400 and 53405 is 5.

GCF(53400,53405) = 5

We will now calculate the prime factors of 53400 and 53405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53400 and 53405.

How to find the GCF of 53400 and 53405?

We will first find the prime factorization of 53400 and 53405. After we will calculate the factors of 53400 and 53405 and find the biggest common factor number .

Step-1: Prime Factorization of 53400

Prime factors of 53400 are 2, 3, 5, 89. Prime factorization of 53400 in exponential form is:

53400 = 2³ × 3¹ × 5² × 89¹

Step-2: Prime Factorization of 53405

Prime factors of 53405 are 5, 11, 971. Prime factorization of 53405 in exponential form is:

53405 = 5¹ × 11¹ × 971¹

Step-3: Factors of 53400

List of positive integer factors of 53400 that divides 53400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 89, 100, 120, 150, 178, 200, 267, 300, 356, 445, 534, 600, 712, 890, 1068, 1335, 1780, 2136, 2225, 2670, 3560, 4450, 5340, 6675, 8900, 10680, 13350, 17800, 26700

Step-4: Factors of 53405

List of positive integer factors of 53405 that divides 53400 without a remainder.

1, 5, 11, 55, 971, 4855, 10681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53400 and 53405. The biggest common factor number is the GCF number.
So the greatest common factor 53400 and 53405 is 5.

Also check out the Least Common Multiple of 53400 and 53405