What is the Greatest Common Factor of 32727 and 32736?

Greatest common factor (GCF) of 32727 and 32736 is 3.

GCF(32727,32736) = 3

We will now calculate the prime factors of 32727 and 32736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32727 and 32736.

How to find the GCF of 32727 and 32736?

We will first find the prime factorization of 32727 and 32736. After we will calculate the factors of 32727 and 32736 and find the biggest common factor number .

Step-1: Prime Factorization of 32727

Prime factors of 32727 are 3, 10909. Prime factorization of 32727 in exponential form is:

32727 = 3¹ × 10909¹

Step-2: Prime Factorization of 32736

Prime factors of 32736 are 2, 3, 11, 31. Prime factorization of 32736 in exponential form is:

32736 = 2⁵ × 3¹ × 11¹ × 31¹

Step-3: Factors of 32727

List of positive integer factors of 32727 that divides 32727 without a remainder.

1, 3, 10909

Step-4: Factors of 32736

List of positive integer factors of 32736 that divides 32727 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 31, 32, 33, 44, 48, 62, 66, 88, 93, 96, 124, 132, 176, 186, 248, 264, 341, 352, 372, 496, 528, 682, 744, 992, 1023, 1056, 1364, 1488, 2046, 2728, 2976, 4092, 5456, 8184, 10912, 16368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32727 and 32736. The biggest common factor number is the GCF number.
So the greatest common factor 32727 and 32736 is 3.

Also check out the Least Common Multiple of 32727 and 32736