What is the Greatest Common Factor of 24992 and 25008?

Greatest common factor (GCF) of 24992 and 25008 is 16.

GCF(24992,25008) = 16

We will now calculate the prime factors of 24992 and 25008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24992 and 25008.

How to find the GCF of 24992 and 25008?

We will first find the prime factorization of 24992 and 25008. After we will calculate the factors of 24992 and 25008 and find the biggest common factor number .

Step-1: Prime Factorization of 24992

Prime factors of 24992 are 2, 11, 71. Prime factorization of 24992 in exponential form is:

24992 = 2⁵ × 11¹ × 71¹

Step-2: Prime Factorization of 25008

Prime factors of 25008 are 2, 3, 521. Prime factorization of 25008 in exponential form is:

25008 = 2⁴ × 3¹ × 521¹

Step-3: Factors of 24992

List of positive integer factors of 24992 that divides 24992 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 71, 88, 142, 176, 284, 352, 568, 781, 1136, 1562, 2272, 3124, 6248, 12496

Step-4: Factors of 25008

List of positive integer factors of 25008 that divides 24992 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 521, 1042, 1563, 2084, 3126, 4168, 6252, 8336, 12504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24992 and 25008. The biggest common factor number is the GCF number.
So the greatest common factor 24992 and 25008 is 16.

Also check out the Least Common Multiple of 24992 and 25008