What is the Greatest Common Factor of 71648 and 71657?

Greatest common factor (GCF) of 71648 and 71657 is 1.

GCF(71648,71657) = 1

We will now calculate the prime factors of 71648 and 71657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71648 and 71657.

How to find the GCF of 71648 and 71657?

We will first find the prime factorization of 71648 and 71657. After we will calculate the factors of 71648 and 71657 and find the biggest common factor number .

Step-1: Prime Factorization of 71648

Prime factors of 71648 are 2, 2239. Prime factorization of 71648 in exponential form is:

71648 = 2⁵ × 2239¹

Step-2: Prime Factorization of 71657

Prime factors of 71657 are 131, 547. Prime factorization of 71657 in exponential form is:

71657 = 131¹ × 547¹

Step-3: Factors of 71648

List of positive integer factors of 71648 that divides 71648 without a remainder.

1, 2, 4, 8, 16, 32, 2239, 4478, 8956, 17912, 35824

Step-4: Factors of 71657

List of positive integer factors of 71657 that divides 71648 without a remainder.

1, 131, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71648 and 71657. The biggest common factor number is the GCF number.
So the greatest common factor 71648 and 71657 is 1.

Also check out the Least Common Multiple of 71648 and 71657