What is the Greatest Common Factor of 71242 and 71254?

Greatest common factor (GCF) of 71242 and 71254 is 2.

GCF(71242,71254) = 2

We will now calculate the prime factors of 71242 and 71254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71242 and 71254.

How to find the GCF of 71242 and 71254?

We will first find the prime factorization of 71242 and 71254. After we will calculate the factors of 71242 and 71254 and find the biggest common factor number .

Step-1: Prime Factorization of 71242

Prime factors of 71242 are 2, 179, 199. Prime factorization of 71242 in exponential form is:

71242 = 2¹ × 179¹ × 199¹

Step-2: Prime Factorization of 71254

Prime factors of 71254 are 2, 23, 1549. Prime factorization of 71254 in exponential form is:

71254 = 2¹ × 23¹ × 1549¹

Step-3: Factors of 71242

List of positive integer factors of 71242 that divides 71242 without a remainder.

1, 2, 179, 199, 358, 398, 35621

Step-4: Factors of 71254

List of positive integer factors of 71254 that divides 71242 without a remainder.

1, 2, 23, 46, 1549, 3098, 35627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71242 and 71254. The biggest common factor number is the GCF number.
So the greatest common factor 71242 and 71254 is 2.

Also check out the Least Common Multiple of 71242 and 71254