What is the Greatest Common Factor of 35400 and 35404?

Greatest common factor (GCF) of 35400 and 35404 is 4.

GCF(35400,35404) = 4

We will now calculate the prime factors of 35400 and 35404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35400 and 35404.

How to find the GCF of 35400 and 35404?

We will first find the prime factorization of 35400 and 35404. After we will calculate the factors of 35400 and 35404 and find the biggest common factor number .

Step-1: Prime Factorization of 35400

Prime factors of 35400 are 2, 3, 5, 59. Prime factorization of 35400 in exponential form is:

35400 = 2³ × 3¹ × 5² × 59¹

Step-2: Prime Factorization of 35404

Prime factors of 35404 are 2, 53, 167. Prime factorization of 35404 in exponential form is:

35404 = 2² × 53¹ × 167¹

Step-3: Factors of 35400

List of positive integer factors of 35400 that divides 35400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 59, 60, 75, 100, 118, 120, 150, 177, 200, 236, 295, 300, 354, 472, 590, 600, 708, 885, 1180, 1416, 1475, 1770, 2360, 2950, 3540, 4425, 5900, 7080, 8850, 11800, 17700

Step-4: Factors of 35404

List of positive integer factors of 35404 that divides 35400 without a remainder.

1, 2, 4, 53, 106, 167, 212, 334, 668, 8851, 17702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35400 and 35404. The biggest common factor number is the GCF number.
So the greatest common factor 35400 and 35404 is 4.

Also check out the Least Common Multiple of 35400 and 35404