What is the Greatest Common Factor of 71099 and 71106?

Greatest common factor (GCF) of 71099 and 71106 is 7.

GCF(71099,71106) = 7

We will now calculate the prime factors of 71099 and 71106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71099 and 71106.

How to find the GCF of 71099 and 71106?

We will first find the prime factorization of 71099 and 71106. After we will calculate the factors of 71099 and 71106 and find the biggest common factor number .

Step-1: Prime Factorization of 71099

Prime factors of 71099 are 7, 1451. Prime factorization of 71099 in exponential form is:

71099 = 7² × 1451¹

Step-2: Prime Factorization of 71106

Prime factors of 71106 are 2, 3, 7, 1693. Prime factorization of 71106 in exponential form is:

71106 = 2¹ × 3¹ × 7¹ × 1693¹

Step-3: Factors of 71099

List of positive integer factors of 71099 that divides 71099 without a remainder.

1, 7, 49, 1451, 10157

Step-4: Factors of 71106

List of positive integer factors of 71106 that divides 71099 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1693, 3386, 5079, 10158, 11851, 23702, 35553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71099 and 71106. The biggest common factor number is the GCF number.
So the greatest common factor 71099 and 71106 is 7.

Also check out the Least Common Multiple of 71099 and 71106