What is the Greatest Common Factor of 71248 and 71257?

Greatest common factor (GCF) of 71248 and 71257 is 1.

GCF(71248,71257) = 1

We will now calculate the prime factors of 71248 and 71257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71248 and 71257.

How to find the GCF of 71248 and 71257?

We will first find the prime factorization of 71248 and 71257. After we will calculate the factors of 71248 and 71257 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 71257

Prime factors of 71257 are 71257. Prime factorization of 71257 in exponential form is:

71257 = 71257¹

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 71257

List of positive integer factors of 71257 that divides 71248 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71248 and 71257. The biggest common factor number is the GCF number.
So the greatest common factor 71248 and 71257 is 1.

Also check out the Least Common Multiple of 71248 and 71257