What is the Greatest Common Factor of 32972 and 32980?

Greatest common factor (GCF) of 32972 and 32980 is 4.

GCF(32972,32980) = 4

We will now calculate the prime factors of 32972 and 32980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32972 and 32980.

How to find the GCF of 32972 and 32980?

We will first find the prime factorization of 32972 and 32980. After we will calculate the factors of 32972 and 32980 and find the biggest common factor number .

Step-1: Prime Factorization of 32972

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

32972 = 2² × 8243¹

Step-2: Prime Factorization of 32980

Prime factors of 32980 are 2, 5, 17, 97. Prime factorization of 32980 in exponential form is:

32980 = 2² × 5¹ × 17¹ × 97¹

Step-3: Factors of 32972

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

1, 2, 4, 8243, 16486

Step-4: Factors of 32980

List of positive integer factors of 32980 that divides 32972 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 97, 170, 194, 340, 388, 485, 970, 1649, 1940, 3298, 6596, 8245, 16490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32972 and 32980. The biggest common factor number is the GCF number.
So the greatest common factor 32972 and 32980 is 4.

Also check out the Least Common Multiple of 32972 and 32980