What is the Greatest Common Factor of 71248 and 71254?

Greatest common factor (GCF) of 71248 and 71254 is 2.

GCF(71248,71254) = 2

We will now calculate the prime factors of 71248 and 71254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71248 and 71254.

How to find the GCF of 71248 and 71254?

We will first find the prime factorization of 71248 and 71254. After we will calculate the factors of 71248 and 71254 and find the biggest common factor number .

Step-1: Prime Factorization of 71248

Prime factors of 71248 are 2, 61, 73. Prime factorization of 71248 in exponential form is:

71248 = 2⁴ × 61¹ × 73¹

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 71248

List of positive integer factors of 71248 that divides 71248 without a remainder.

1, 2, 4, 8, 16, 61, 73, 122, 146, 244, 292, 488, 584, 976, 1168, 4453, 8906, 17812, 35624

Step-4: Factors of 71254

List of positive integer factors of 71254 that divides 71248 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71248 and 71254. The biggest common factor number is the GCF number.
So the greatest common factor 71248 and 71254 is 2.

Also check out the Least Common Multiple of 71248 and 71254