What is the Greatest Common Factor of 32960 and 32976?

Greatest common factor (GCF) of 32960 and 32976 is 16.

GCF(32960,32976) = 16

We will now calculate the prime factors of 32960 and 32976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32960 and 32976.

How to find the GCF of 32960 and 32976?

We will first find the prime factorization of 32960 and 32976. After we will calculate the factors of 32960 and 32976 and find the biggest common factor number .

Step-1: Prime Factorization of 32960

Prime factors of 32960 are 2, 5, 103. Prime factorization of 32960 in exponential form is:

32960 = 2⁶ × 5¹ × 103¹

Step-2: Prime Factorization of 32976

Prime factors of 32976 are 2, 3, 229. Prime factorization of 32976 in exponential form is:

32976 = 2⁴ × 3² × 229¹

Step-3: Factors of 32960

List of positive integer factors of 32960 that divides 32960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 103, 160, 206, 320, 412, 515, 824, 1030, 1648, 2060, 3296, 4120, 6592, 8240, 16480

Step-4: Factors of 32976

List of positive integer factors of 32976 that divides 32960 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 229, 458, 687, 916, 1374, 1832, 2061, 2748, 3664, 4122, 5496, 8244, 10992, 16488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32960 and 32976. The biggest common factor number is the GCF number.
So the greatest common factor 32960 and 32976 is 16.

Also check out the Least Common Multiple of 32960 and 32976