What is the Greatest Common Factor of 35445 and 35462?

Greatest common factor (GCF) of 35445 and 35462 is 17.

GCF(35445,35462) = 17

We will now calculate the prime factors of 35445 and 35462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35445 and 35462.

How to find the GCF of 35445 and 35462?

We will first find the prime factorization of 35445 and 35462. After we will calculate the factors of 35445 and 35462 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 35462

Prime factors of 35462 are 2, 7, 17, 149. Prime factorization of 35462 in exponential form is:

35462 = 2¹ × 7¹ × 17¹ × 149¹

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 35462

List of positive integer factors of 35462 that divides 35445 without a remainder.

1, 2, 7, 14, 17, 34, 119, 149, 238, 298, 1043, 2086, 2533, 5066, 17731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35445 and 35462. The biggest common factor number is the GCF number.
So the greatest common factor 35445 and 35462 is 17.

Also check out the Least Common Multiple of 35445 and 35462