What is the Greatest Common Factor of 71694 and 71707?

Greatest common factor (GCF) of 71694 and 71707 is 1.

GCF(71694,71707) = 1

We will now calculate the prime factors of 71694 and 71707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71694 and 71707.

How to find the GCF of 71694 and 71707?

We will first find the prime factorization of 71694 and 71707. After we will calculate the factors of 71694 and 71707 and find the biggest common factor number .

Step-1: Prime Factorization of 71694

Prime factors of 71694 are 2, 3, 7, 569. Prime factorization of 71694 in exponential form is:

71694 = 2¹ × 3² × 7¹ × 569¹

Step-2: Prime Factorization of 71707

Prime factors of 71707 are 71707. Prime factorization of 71707 in exponential form is:

71707 = 71707¹

Step-3: Factors of 71694

List of positive integer factors of 71694 that divides 71694 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 569, 1138, 1707, 3414, 3983, 5121, 7966, 10242, 11949, 23898, 35847

Step-4: Factors of 71707

List of positive integer factors of 71707 that divides 71694 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71694 and 71707. The biggest common factor number is the GCF number.
So the greatest common factor 71694 and 71707 is 1.

Also check out the Least Common Multiple of 71694 and 71707