What is the Greatest Common Factor of 25984 and 25996?

Greatest common factor (GCF) of 25984 and 25996 is 4.

GCF(25984,25996) = 4

We will now calculate the prime factors of 25984 and 25996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25984 and 25996.

How to find the GCF of 25984 and 25996?

We will first find the prime factorization of 25984 and 25996. After we will calculate the factors of 25984 and 25996 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 25996

Prime factors of 25996 are 2, 67, 97. Prime factorization of 25996 in exponential form is:

25996 = 2² × 67¹ × 97¹

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 25996

List of positive integer factors of 25996 that divides 25984 without a remainder.

1, 2, 4, 67, 97, 134, 194, 268, 388, 6499, 12998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25984 and 25996. The biggest common factor number is the GCF number.
So the greatest common factor 25984 and 25996 is 4.

Also check out the Least Common Multiple of 25984 and 25996