What is the Greatest Common Factor of 681 and 701?

Greatest common factor (GCF) of 681 and 701 is 1.

GCF(681,701) = 1

We will now calculate the prime factors of 681 and 701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 681 and 701.

How to find the GCF of 681 and 701?

We will first find the prime factorization of 681 and 701. After we will calculate the factors of 681 and 701 and find the biggest common factor number .

Step-1: Prime Factorization of 681

Prime factors of 681 are 3, 227. Prime factorization of 681 in exponential form is:

681 = 3¹ × 227¹

Step-2: Prime Factorization of 701

Prime factors of 701 are 701. Prime factorization of 701 in exponential form is:

701 = 701¹

Step-3: Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1, 3, 227

Step-4: Factors of 701

List of positive integer factors of 701 that divides 681 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 681 and 701. The biggest common factor number is the GCF number.
So the greatest common factor 681 and 701 is 1.

Also check out the Least Common Multiple of 681 and 701