What is the Greatest Common Factor of 32960 and 32972?

Greatest common factor (GCF) of 32960 and 32972 is 4.

GCF(32960,32972) = 4

We will now calculate the prime factors of 32960 and 32972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32960 and 32972.

How to find the GCF of 32960 and 32972?

We will first find the prime factorization of 32960 and 32972. After we will calculate the factors of 32960 and 32972 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 32972

Prime factors of 32972 are 2, 8243. Prime factorization of 32972 in exponential form is:

32972 = 2² × 8243¹

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 32972

List of positive integer factors of 32972 that divides 32960 without a remainder.

1, 2, 4, 8243, 16486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32960 and 32972. The biggest common factor number is the GCF number.
So the greatest common factor 32960 and 32972 is 4.

Also check out the Least Common Multiple of 32960 and 32972