What is the Greatest Common Factor of 53400 and 53404?

Greatest common factor (GCF) of 53400 and 53404 is 4.

GCF(53400,53404) = 4

We will now calculate the prime factors of 53400 and 53404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53400 and 53404.

How to find the GCF of 53400 and 53404?

We will first find the prime factorization of 53400 and 53404. After we will calculate the factors of 53400 and 53404 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 53404

Prime factors of 53404 are 2, 13, 79. Prime factorization of 53404 in exponential form is:

53404 = 2² × 13² × 79¹

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 53404

List of positive integer factors of 53404 that divides 53400 without a remainder.

1, 2, 4, 13, 26, 52, 79, 158, 169, 316, 338, 676, 1027, 2054, 4108, 13351, 26702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53400 and 53404. The biggest common factor number is the GCF number.
So the greatest common factor 53400 and 53404 is 4.

Also check out the Least Common Multiple of 53400 and 53404