What is the Greatest Common Factor of 71414 and 71429?

Greatest common factor (GCF) of 71414 and 71429 is 1.

GCF(71414,71429) = 1

We will now calculate the prime factors of 71414 and 71429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71414 and 71429.

How to find the GCF of 71414 and 71429?

We will first find the prime factorization of 71414 and 71429. After we will calculate the factors of 71414 and 71429 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 71429

Prime factors of 71429 are 71429. Prime factorization of 71429 in exponential form is:

71429 = 71429¹

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 71429

List of positive integer factors of 71429 that divides 71414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71414 and 71429. The biggest common factor number is the GCF number.
So the greatest common factor 71414 and 71429 is 1.

Also check out the Least Common Multiple of 71414 and 71429