What is the Greatest Common Factor of 71638 and 71657?

Greatest common factor (GCF) of 71638 and 71657 is 1.

GCF(71638,71657) = 1

We will now calculate the prime factors of 71638 and 71657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71638 and 71657.

How to find the GCF of 71638 and 71657?

We will first find the prime factorization of 71638 and 71657. After we will calculate the factors of 71638 and 71657 and find the biggest common factor number .

Step-1: Prime Factorization of 71638

Prime factors of 71638 are 2, 7, 17, 43. Prime factorization of 71638 in exponential form is:

71638 = 2¹ × 7² × 17¹ × 43¹

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 71638

List of positive integer factors of 71638 that divides 71638 without a remainder.

1, 2, 7, 14, 17, 34, 43, 49, 86, 98, 119, 238, 301, 602, 731, 833, 1462, 1666, 2107, 4214, 5117, 10234, 35819

Step-4: Factors of 71657

List of positive integer factors of 71657 that divides 71638 without a remainder.

1, 131, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71638 and 71657. The biggest common factor number is the GCF number.
So the greatest common factor 71638 and 71657 is 1.

Also check out the Least Common Multiple of 71638 and 71657