What is the Greatest Common Factor of 71435 and 71455?

Greatest common factor (GCF) of 71435 and 71455 is 5.

GCF(71435,71455) = 5

We will now calculate the prime factors of 71435 and 71455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71435 and 71455.

How to find the GCF of 71435 and 71455?

We will first find the prime factorization of 71435 and 71455. After we will calculate the factors of 71435 and 71455 and find the biggest common factor number .

Step-1: Prime Factorization of 71435

Prime factors of 71435 are 5, 7, 13, 157. Prime factorization of 71435 in exponential form is:

71435 = 5¹ × 7¹ × 13¹ × 157¹

Step-2: Prime Factorization of 71455

Prime factors of 71455 are 5, 31, 461. Prime factorization of 71455 in exponential form is:

71455 = 5¹ × 31¹ × 461¹

Step-3: Factors of 71435

List of positive integer factors of 71435 that divides 71435 without a remainder.

1, 5, 7, 13, 35, 65, 91, 157, 455, 785, 1099, 2041, 5495, 10205, 14287

Step-4: Factors of 71455

List of positive integer factors of 71455 that divides 71435 without a remainder.

1, 5, 31, 155, 461, 2305, 14291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71435 and 71455. The biggest common factor number is the GCF number.
So the greatest common factor 71435 and 71455 is 5.

Also check out the Least Common Multiple of 71435 and 71455