What is the Greatest Common Factor of 71182 and 71202?

Greatest common factor (GCF) of 71182 and 71202 is 2.

GCF(71182,71202) = 2

We will now calculate the prime factors of 71182 and 71202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71182 and 71202.

How to find the GCF of 71182 and 71202?

We will first find the prime factorization of 71182 and 71202. After we will calculate the factors of 71182 and 71202 and find the biggest common factor number .

Step-1: Prime Factorization of 71182

Prime factors of 71182 are 2, 35591. Prime factorization of 71182 in exponential form is:

71182 = 2¹ × 35591¹

Step-2: Prime Factorization of 71202

Prime factors of 71202 are 2, 3, 11867. Prime factorization of 71202 in exponential form is:

71202 = 2¹ × 3¹ × 11867¹

Step-3: Factors of 71182

List of positive integer factors of 71182 that divides 71182 without a remainder.

1, 2, 35591

Step-4: Factors of 71202

List of positive integer factors of 71202 that divides 71182 without a remainder.

1, 2, 3, 6, 11867, 23734, 35601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71182 and 71202. The biggest common factor number is the GCF number.
So the greatest common factor 71182 and 71202 is 2.

Also check out the Least Common Multiple of 71182 and 71202