What is the Greatest Common Factor of 71402 and 71407?

Greatest common factor (GCF) of 71402 and 71407 is 1.

GCF(71402,71407) = 1

We will now calculate the prime factors of 71402 and 71407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71402 and 71407.

How to find the GCF of 71402 and 71407?

We will first find the prime factorization of 71402 and 71407. After we will calculate the factors of 71402 and 71407 and find the biggest common factor number .

Step-1: Prime Factorization of 71402

Prime factors of 71402 are 2, 19, 1879. Prime factorization of 71402 in exponential form is:

71402 = 2¹ × 19¹ × 1879¹

Step-2: Prime Factorization of 71407

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

71407 = 7¹ × 101²

Step-3: Factors of 71402

List of positive integer factors of 71402 that divides 71402 without a remainder.

1, 2, 19, 38, 1879, 3758, 35701

Step-4: Factors of 71407

List of positive integer factors of 71407 that divides 71402 without a remainder.

1, 7, 101, 707, 10201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71402 and 71407. The biggest common factor number is the GCF number.
So the greatest common factor 71402 and 71407 is 1.

Also check out the Least Common Multiple of 71402 and 71407