What is the Greatest Common Factor of 25984 and 25998?

Greatest common factor (GCF) of 25984 and 25998 is 14.

GCF(25984,25998) = 14

We will now calculate the prime factors of 25984 and 25998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25984 and 25998.

How to find the GCF of 25984 and 25998?

We will first find the prime factorization of 25984 and 25998. After we will calculate the factors of 25984 and 25998 and find the biggest common factor number .

Step-1: Prime Factorization of 25984

Prime factors of 25984 are 2, 7, 29. Prime factorization of 25984 in exponential form is:

25984 = 2⁷ × 7¹ × 29¹

Step-2: Prime Factorization of 25998

Prime factors of 25998 are 2, 3, 7, 619. Prime factorization of 25998 in exponential form is:

25998 = 2¹ × 3¹ × 7¹ × 619¹

Step-3: Factors of 25984

List of positive integer factors of 25984 that divides 25984 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 56, 58, 64, 112, 116, 128, 203, 224, 232, 406, 448, 464, 812, 896, 928, 1624, 1856, 3248, 3712, 6496, 12992

Step-4: Factors of 25998

List of positive integer factors of 25998 that divides 25984 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 619, 1238, 1857, 3714, 4333, 8666, 12999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25984 and 25998. The biggest common factor number is the GCF number.
So the greatest common factor 25984 and 25998 is 14.

Also check out the Least Common Multiple of 25984 and 25998