What is the Greatest Common Factor of 25374 and 25380?

Greatest common factor (GCF) of 25374 and 25380 is 6.

GCF(25374,25380) = 6

We will now calculate the prime factors of 25374 and 25380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25374 and 25380.

How to find the GCF of 25374 and 25380?

We will first find the prime factorization of 25374 and 25380. After we will calculate the factors of 25374 and 25380 and find the biggest common factor number .

Step-1: Prime Factorization of 25374

Prime factors of 25374 are 2, 3, 4229. Prime factorization of 25374 in exponential form is:

25374 = 2¹ × 3¹ × 4229¹

Step-2: 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-3: Factors of 25374

List of positive integer factors of 25374 that divides 25374 without a remainder.

1, 2, 3, 6, 4229, 8458, 12687

Step-4: Factors of 25380

List of positive integer factors of 25380 that divides 25374 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25374 and 25380. The biggest common factor number is the GCF number.
So the greatest common factor 25374 and 25380 is 6.

Also check out the Least Common Multiple of 25374 and 25380