What is the Greatest Common Factor of 25380 and 25384?

Greatest common factor (GCF) of 25380 and 25384 is 4.

GCF(25380,25384) = 4

We will now calculate the prime factors of 25380 and 25384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25380 and 25384.

How to find the GCF of 25380 and 25384?

We will first find the prime factorization of 25380 and 25384. After we will calculate the factors of 25380 and 25384 and find the biggest common factor number .

Step-1: Prime Factorization of 25380

Prime factors of 25380 are 2, 3, 5, 47. Prime factorization of 25380 in exponential form is:

25380 = 2² × 3³ × 5¹ × 47¹

Step-2: Prime Factorization of 25384

Prime factors of 25384 are 2, 19, 167. Prime factorization of 25384 in exponential form is:

25384 = 2³ × 19¹ × 167¹

Step-3: Factors of 25380

List of positive integer factors of 25380 that divides 25380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 47, 54, 60, 90, 94, 108, 135, 141, 180, 188, 235, 270, 282, 423, 470, 540, 564, 705, 846, 940, 1269, 1410, 1692, 2115, 2538, 2820, 4230, 5076, 6345, 8460, 12690

Step-4: Factors of 25384

List of positive integer factors of 25384 that divides 25380 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 167, 334, 668, 1336, 3173, 6346, 12692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25380 and 25384. The biggest common factor number is the GCF number.
So the greatest common factor 25380 and 25384 is 4.

Also check out the Least Common Multiple of 25380 and 25384