What is the Greatest Common Factor of 25546 and 25560?

Greatest common factor (GCF) of 25546 and 25560 is 2.

GCF(25546,25560) = 2

We will now calculate the prime factors of 25546 and 25560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25546 and 25560.

How to find the GCF of 25546 and 25560?

We will first find the prime factorization of 25546 and 25560. After we will calculate the factors of 25546 and 25560 and find the biggest common factor number .

Step-1: Prime Factorization of 25546

Prime factors of 25546 are 2, 53, 241. Prime factorization of 25546 in exponential form is:

25546 = 2¹ × 53¹ × 241¹

Step-2: 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-3: Factors of 25546

List of positive integer factors of 25546 that divides 25546 without a remainder.

1, 2, 53, 106, 241, 482, 12773

Step-4: Factors of 25560

List of positive integer factors of 25560 that divides 25546 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25546 and 25560. The biggest common factor number is the GCF number.
So the greatest common factor 25546 and 25560 is 2.

Also check out the Least Common Multiple of 25546 and 25560