What is the Greatest Common Factor of 32720 and 32736?

Greatest common factor (GCF) of 32720 and 32736 is 16.

GCF(32720,32736) = 16

We will now calculate the prime factors of 32720 and 32736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32720 and 32736.

How to find the GCF of 32720 and 32736?

We will first find the prime factorization of 32720 and 32736. After we will calculate the factors of 32720 and 32736 and find the biggest common factor number .

Step-1: Prime Factorization of 32720

Prime factors of 32720 are 2, 5, 409. Prime factorization of 32720 in exponential form is:

32720 = 2⁴ × 5¹ × 409¹

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 32720

List of positive integer factors of 32720 that divides 32720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 409, 818, 1636, 2045, 3272, 4090, 6544, 8180, 16360

Step-4: Factors of 32736

List of positive integer factors of 32736 that divides 32720 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 32720 and 32736. The biggest common factor number is the GCF number.
So the greatest common factor 32720 and 32736 is 16.

Also check out the Least Common Multiple of 32720 and 32736