What is the Greatest Common Factor of 71102 and 71114?

Greatest common factor (GCF) of 71102 and 71114 is 2.

GCF(71102,71114) = 2

We will now calculate the prime factors of 71102 and 71114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71102 and 71114.

How to find the GCF of 71102 and 71114?

We will first find the prime factorization of 71102 and 71114. After we will calculate the factors of 71102 and 71114 and find the biggest common factor number .

Step-1: Prime Factorization of 71102

Prime factors of 71102 are 2, 73, 487. Prime factorization of 71102 in exponential form is:

71102 = 2¹ × 73¹ × 487¹

Step-2: Prime Factorization of 71114

Prime factors of 71114 are 2, 31, 37. Prime factorization of 71114 in exponential form is:

71114 = 2¹ × 31² × 37¹

Step-3: Factors of 71102

List of positive integer factors of 71102 that divides 71102 without a remainder.

1, 2, 73, 146, 487, 974, 35551

Step-4: Factors of 71114

List of positive integer factors of 71114 that divides 71102 without a remainder.

1, 2, 31, 37, 62, 74, 961, 1147, 1922, 2294, 35557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71102 and 71114. The biggest common factor number is the GCF number.
So the greatest common factor 71102 and 71114 is 2.

Also check out the Least Common Multiple of 71102 and 71114