What is the Greatest Common Factor of 35445 and 35465?

Greatest common factor (GCF) of 35445 and 35465 is 5.

GCF(35445,35465) = 5

We will now calculate the prime factors of 35445 and 35465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35445 and 35465.

How to find the GCF of 35445 and 35465?

We will first find the prime factorization of 35445 and 35465. After we will calculate the factors of 35445 and 35465 and find the biggest common factor number .

Step-1: Prime Factorization of 35445

Prime factors of 35445 are 3, 5, 17, 139. Prime factorization of 35445 in exponential form is:

35445 = 3¹ × 5¹ × 17¹ × 139¹

Step-2: Prime Factorization of 35465

Prime factors of 35465 are 5, 41, 173. Prime factorization of 35465 in exponential form is:

35465 = 5¹ × 41¹ × 173¹

Step-3: Factors of 35445

List of positive integer factors of 35445 that divides 35445 without a remainder.

1, 3, 5, 15, 17, 51, 85, 139, 255, 417, 695, 2085, 2363, 7089, 11815

Step-4: Factors of 35465

List of positive integer factors of 35465 that divides 35445 without a remainder.

1, 5, 41, 173, 205, 865, 7093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35445 and 35465. The biggest common factor number is the GCF number.
So the greatest common factor 35445 and 35465 is 5.

Also check out the Least Common Multiple of 35445 and 35465