What is the Greatest Common Factor of 32935 and 32955?

Greatest common factor (GCF) of 32935 and 32955 is 5.

GCF(32935,32955) = 5

We will now calculate the prime factors of 32935 and 32955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32935 and 32955.

How to find the GCF of 32935 and 32955?

We will first find the prime factorization of 32935 and 32955. After we will calculate the factors of 32935 and 32955 and find the biggest common factor number .

Step-1: Prime Factorization of 32935

Prime factors of 32935 are 5, 7, 941. Prime factorization of 32935 in exponential form is:

32935 = 5¹ × 7¹ × 941¹

Step-2: Prime Factorization of 32955

Prime factors of 32955 are 3, 5, 13. Prime factorization of 32955 in exponential form is:

32955 = 3¹ × 5¹ × 13³

Step-3: Factors of 32935

List of positive integer factors of 32935 that divides 32935 without a remainder.

1, 5, 7, 35, 941, 4705, 6587

Step-4: Factors of 32955

List of positive integer factors of 32955 that divides 32935 without a remainder.

1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2197, 2535, 6591, 10985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32935 and 32955. The biggest common factor number is the GCF number.
So the greatest common factor 32935 and 32955 is 5.

Also check out the Least Common Multiple of 32935 and 32955