What is the Greatest Common Factor of 32465 and 32470?

Greatest common factor (GCF) of 32465 and 32470 is 5.

GCF(32465,32470) = 5

We will now calculate the prime factors of 32465 and 32470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32465 and 32470.

How to find the GCF of 32465 and 32470?

We will first find the prime factorization of 32465 and 32470. After we will calculate the factors of 32465 and 32470 and find the biggest common factor number .

Step-1: Prime Factorization of 32465

Prime factors of 32465 are 5, 43, 151. Prime factorization of 32465 in exponential form is:

32465 = 5¹ × 43¹ × 151¹

Step-2: Prime Factorization of 32470

Prime factors of 32470 are 2, 5, 17, 191. Prime factorization of 32470 in exponential form is:

32470 = 2¹ × 5¹ × 17¹ × 191¹

Step-3: Factors of 32465

List of positive integer factors of 32465 that divides 32465 without a remainder.

1, 5, 43, 151, 215, 755, 6493

Step-4: Factors of 32470

List of positive integer factors of 32470 that divides 32465 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 191, 382, 955, 1910, 3247, 6494, 16235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32465 and 32470. The biggest common factor number is the GCF number.
So the greatest common factor 32465 and 32470 is 5.

Also check out the Least Common Multiple of 32465 and 32470