What is the Greatest Common Factor of 25560 and 25574?

Greatest common factor (GCF) of 25560 and 25574 is 2.

GCF(25560,25574) = 2

We will now calculate the prime factors of 25560 and 25574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25560 and 25574.

How to find the GCF of 25560 and 25574?

We will first find the prime factorization of 25560 and 25574. After we will calculate the factors of 25560 and 25574 and find the biggest common factor number .

Step-1: Prime Factorization of 25560

Prime factors of 25560 are 2, 3, 5, 71. Prime factorization of 25560 in exponential form is:

25560 = 2³ × 3² × 5¹ × 71¹

Step-2: Prime Factorization of 25574

Prime factors of 25574 are 2, 19, 673. Prime factorization of 25574 in exponential form is:

25574 = 2¹ × 19¹ × 673¹

Step-3: Factors of 25560

List of positive integer factors of 25560 that divides 25560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 71, 72, 90, 120, 142, 180, 213, 284, 355, 360, 426, 568, 639, 710, 852, 1065, 1278, 1420, 1704, 2130, 2556, 2840, 3195, 4260, 5112, 6390, 8520, 12780

Step-4: Factors of 25574

List of positive integer factors of 25574 that divides 25560 without a remainder.

1, 2, 19, 38, 673, 1346, 12787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25560 and 25574. The biggest common factor number is the GCF number.
So the greatest common factor 25560 and 25574 is 2.

Also check out the Least Common Multiple of 25560 and 25574