What is the Greatest Common Factor of 71071 and 71085?

Greatest common factor (GCF) of 71071 and 71085 is 7.

GCF(71071,71085) = 7

We will now calculate the prime factors of 71071 and 71085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71071 and 71085.

How to find the GCF of 71071 and 71085?

We will first find the prime factorization of 71071 and 71085. After we will calculate the factors of 71071 and 71085 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 71085

Prime factors of 71085 are 3, 5, 7, 677. Prime factorization of 71085 in exponential form is:

71085 = 3¹ × 5¹ × 7¹ × 677¹

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 71085

List of positive integer factors of 71085 that divides 71071 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 677, 2031, 3385, 4739, 10155, 14217, 23695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71071 and 71085. The biggest common factor number is the GCF number.
So the greatest common factor 71071 and 71085 is 7.

Also check out the Least Common Multiple of 71071 and 71085