What is the Greatest Common Factor of 71414 and 71433?

Greatest common factor (GCF) of 71414 and 71433 is 1.

GCF(71414,71433) = 1

We will now calculate the prime factors of 71414 and 71433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71414 and 71433.

How to find the GCF of 71414 and 71433?

We will first find the prime factorization of 71414 and 71433. After we will calculate the factors of 71414 and 71433 and find the biggest common factor number .

Step-1: Prime Factorization of 71414

Prime factors of 71414 are 2, 7, 5101. Prime factorization of 71414 in exponential form is:

71414 = 2¹ × 7¹ × 5101¹

Step-2: Prime Factorization of 71433

Prime factors of 71433 are 3, 7937. Prime factorization of 71433 in exponential form is:

71433 = 3² × 7937¹

Step-3: Factors of 71414

List of positive integer factors of 71414 that divides 71414 without a remainder.

1, 2, 7, 14, 5101, 10202, 35707

Step-4: Factors of 71433

List of positive integer factors of 71433 that divides 71414 without a remainder.

1, 3, 9, 7937, 23811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71414 and 71433. The biggest common factor number is the GCF number.
So the greatest common factor 71414 and 71433 is 1.

Also check out the Least Common Multiple of 71414 and 71433