What is the Greatest Common Factor of 71071 and 71078?

Greatest common factor (GCF) of 71071 and 71078 is 7.

GCF(71071,71078) = 7

We will now calculate the prime factors of 71071 and 71078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71071 and 71078.

How to find the GCF of 71071 and 71078?

We will first find the prime factorization of 71071 and 71078. After we will calculate the factors of 71071 and 71078 and find the biggest common factor number .

Step-1: Prime Factorization of 71071

Prime factors of 71071 are 7, 11, 13, 71. Prime factorization of 71071 in exponential form is:

71071 = 7¹ × 11¹ × 13¹ × 71¹

Step-2: Prime Factorization of 71078

Prime factors of 71078 are 2, 7, 5077. Prime factorization of 71078 in exponential form is:

71078 = 2¹ × 7¹ × 5077¹

Step-3: Factors of 71071

List of positive integer factors of 71071 that divides 71071 without a remainder.

1, 7, 11, 13, 71, 77, 91, 143, 497, 781, 923, 1001, 5467, 6461, 10153

Step-4: Factors of 71078

List of positive integer factors of 71078 that divides 71071 without a remainder.

1, 2, 7, 14, 5077, 10154, 35539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71071 and 71078. The biggest common factor number is the GCF number.
So the greatest common factor 71071 and 71078 is 7.

Also check out the Least Common Multiple of 71071 and 71078