What is the Greatest Common Factor of 706 and 715?

Greatest common factor (GCF) of 706 and 715 is 1.

GCF(706,715) = 1

We will now calculate the prime factors of 706 and 715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 706 and 715.

How to find the GCF of 706 and 715?

We will first find the prime factorization of 706 and 715. After we will calculate the factors of 706 and 715 and find the biggest common factor number .

Step-1: Prime Factorization of 706

Prime factors of 706 are 2, 353. Prime factorization of 706 in exponential form is:

706 = 2¹ × 353¹

Step-2: Prime Factorization of 715

Prime factors of 715 are 5, 11, 13. Prime factorization of 715 in exponential form is:

715 = 5¹ × 11¹ × 13¹

Step-3: Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1, 2, 353

Step-4: Factors of 715

List of positive integer factors of 715 that divides 706 without a remainder.

1, 5, 11, 13, 55, 65, 143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 706 and 715. The biggest common factor number is the GCF number.
So the greatest common factor 706 and 715 is 1.

Also check out the Least Common Multiple of 706 and 715