What is the Greatest Common Factor of 25616 and 25632?

Greatest common factor (GCF) of 25616 and 25632 is 16.

GCF(25616,25632) = 16

We will now calculate the prime factors of 25616 and 25632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25616 and 25632.

How to find the GCF of 25616 and 25632?

We will first find the prime factorization of 25616 and 25632. After we will calculate the factors of 25616 and 25632 and find the biggest common factor number .

Step-1: Prime Factorization of 25616

Prime factors of 25616 are 2, 1601. Prime factorization of 25616 in exponential form is:

25616 = 2⁴ × 1601¹

Step-2: Prime Factorization of 25632

Prime factors of 25632 are 2, 3, 89. Prime factorization of 25632 in exponential form is:

25632 = 2⁵ × 3² × 89¹

Step-3: Factors of 25616

List of positive integer factors of 25616 that divides 25616 without a remainder.

1, 2, 4, 8, 16, 1601, 3202, 6404, 12808

Step-4: Factors of 25632

List of positive integer factors of 25632 that divides 25616 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 89, 96, 144, 178, 267, 288, 356, 534, 712, 801, 1068, 1424, 1602, 2136, 2848, 3204, 4272, 6408, 8544, 12816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25616 and 25632. The biggest common factor number is the GCF number.
So the greatest common factor 25616 and 25632 is 16.

Also check out the Least Common Multiple of 25616 and 25632