What is the Greatest Common Factor of 32736 and 32746?

Greatest common factor (GCF) of 32736 and 32746 is 2.

GCF(32736,32746) = 2

We will now calculate the prime factors of 32736 and 32746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32736 and 32746.

How to find the GCF of 32736 and 32746?

We will first find the prime factorization of 32736 and 32746. After we will calculate the factors of 32736 and 32746 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32746

Prime factors of 32746 are 2, 7, 2339. Prime factorization of 32746 in exponential form is:

32746 = 2¹ × 7¹ × 2339¹

Step-3: Factors of 32736

List of positive integer factors of 32736 that divides 32736 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

Step-4: Factors of 32746

List of positive integer factors of 32746 that divides 32736 without a remainder.

1, 2, 7, 14, 2339, 4678, 16373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32736 and 32746. The biggest common factor number is the GCF number.
So the greatest common factor 32736 and 32746 is 2.

Also check out the Least Common Multiple of 32736 and 32746