What is the Greatest Common Factor of 27632 and 27652?

Greatest common factor (GCF) of 27632 and 27652 is 4.

GCF(27632,27652) = 4

We will now calculate the prime factors of 27632 and 27652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27632 and 27652.

How to find the GCF of 27632 and 27652?

We will first find the prime factorization of 27632 and 27652. After we will calculate the factors of 27632 and 27652 and find the biggest common factor number .

Step-1: Prime Factorization of 27632

Prime factors of 27632 are 2, 11, 157. Prime factorization of 27632 in exponential form is:

27632 = 2⁴ × 11¹ × 157¹

Step-2: Prime Factorization of 27652

Prime factors of 27652 are 2, 31, 223. Prime factorization of 27652 in exponential form is:

27652 = 2² × 31¹ × 223¹

Step-3: Factors of 27632

List of positive integer factors of 27632 that divides 27632 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 157, 176, 314, 628, 1256, 1727, 2512, 3454, 6908, 13816

Step-4: Factors of 27652

List of positive integer factors of 27652 that divides 27632 without a remainder.

1, 2, 4, 31, 62, 124, 223, 446, 892, 6913, 13826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27632 and 27652. The biggest common factor number is the GCF number.
So the greatest common factor 27632 and 27652 is 4.

Also check out the Least Common Multiple of 27632 and 27652