What is the Greatest Common Factor of 71230 and 71248?

Greatest common factor (GCF) of 71230 and 71248 is 2.

GCF(71230,71248) = 2

We will now calculate the prime factors of 71230 and 71248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71230 and 71248.

How to find the GCF of 71230 and 71248?

We will first find the prime factorization of 71230 and 71248. After we will calculate the factors of 71230 and 71248 and find the biggest common factor number .

Step-1: Prime Factorization of 71230

Prime factors of 71230 are 2, 5, 17, 419. Prime factorization of 71230 in exponential form is:

71230 = 2¹ × 5¹ × 17¹ × 419¹

Step-2: 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-3: Factors of 71230

List of positive integer factors of 71230 that divides 71230 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 419, 838, 2095, 4190, 7123, 14246, 35615

Step-4: Factors of 71248

List of positive integer factors of 71248 that divides 71230 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71230 and 71248. The biggest common factor number is the GCF number.
So the greatest common factor 71230 and 71248 is 2.

Also check out the Least Common Multiple of 71230 and 71248