What is the Greatest Common Factor of 71407 and 71416?

Greatest common factor (GCF) of 71407 and 71416 is 1.

GCF(71407,71416) = 1

We will now calculate the prime factors of 71407 and 71416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71407 and 71416.

How to find the GCF of 71407 and 71416?

We will first find the prime factorization of 71407 and 71416. After we will calculate the factors of 71407 and 71416 and find the biggest common factor number .

Step-1: Prime Factorization of 71407

Prime factors of 71407 are 7, 101. Prime factorization of 71407 in exponential form is:

71407 = 7¹ × 101²

Step-2: Prime Factorization of 71416

Prime factors of 71416 are 2, 79, 113. Prime factorization of 71416 in exponential form is:

71416 = 2³ × 79¹ × 113¹

Step-3: Factors of 71407

List of positive integer factors of 71407 that divides 71407 without a remainder.

1, 7, 101, 707, 10201

Step-4: Factors of 71416

List of positive integer factors of 71416 that divides 71407 without a remainder.

1, 2, 4, 8, 79, 113, 158, 226, 316, 452, 632, 904, 8927, 17854, 35708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71407 and 71416. The biggest common factor number is the GCF number.
So the greatest common factor 71407 and 71416 is 1.

Also check out the Least Common Multiple of 71407 and 71416