What is the Greatest Common Factor of 32970 and 32975?

Greatest common factor (GCF) of 32970 and 32975 is 5.

GCF(32970,32975) = 5

We will now calculate the prime factors of 32970 and 32975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32970 and 32975.

How to find the GCF of 32970 and 32975?

We will first find the prime factorization of 32970 and 32975. After we will calculate the factors of 32970 and 32975 and find the biggest common factor number .

Step-1: Prime Factorization of 32970

Prime factors of 32970 are 2, 3, 5, 7, 157. Prime factorization of 32970 in exponential form is:

32970 = 2¹ × 3¹ × 5¹ × 7¹ × 157¹

Step-2: Prime Factorization of 32975

Prime factors of 32975 are 5, 1319. Prime factorization of 32975 in exponential form is:

32975 = 5² × 1319¹

Step-3: Factors of 32970

List of positive integer factors of 32970 that divides 32970 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 157, 210, 314, 471, 785, 942, 1099, 1570, 2198, 2355, 3297, 4710, 5495, 6594, 10990, 16485

Step-4: Factors of 32975

List of positive integer factors of 32975 that divides 32970 without a remainder.

1, 5, 25, 1319, 6595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32970 and 32975. The biggest common factor number is the GCF number.
So the greatest common factor 32970 and 32975 is 5.

Also check out the Least Common Multiple of 32970 and 32975