What is the Greatest Common Factor of 71071 and 71076?

Greatest common factor (GCF) of 71071 and 71076 is 1.

GCF(71071,71076) = 1

We will now calculate the prime factors of 71071 and 71076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71071 and 71076.

How to find the GCF of 71071 and 71076?

We will first find the prime factorization of 71071 and 71076. After we will calculate the factors of 71071 and 71076 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 71076

Prime factors of 71076 are 2, 3, 5923. Prime factorization of 71076 in exponential form is:

71076 = 2² × 3¹ × 5923¹

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 71076

List of positive integer factors of 71076 that divides 71071 without a remainder.

1, 2, 3, 4, 6, 12, 5923, 11846, 17769, 23692, 35538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71071 and 71076. The biggest common factor number is the GCF number.
So the greatest common factor 71071 and 71076 is 1.

Also check out the Least Common Multiple of 71071 and 71076