What is the Greatest Common Factor of 35706 and 35723?

Greatest common factor (GCF) of 35706 and 35723 is 1.

GCF(35706,35723) = 1

We will now calculate the prime factors of 35706 and 35723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35706 and 35723.

How to find the GCF of 35706 and 35723?

We will first find the prime factorization of 35706 and 35723. After we will calculate the factors of 35706 and 35723 and find the biggest common factor number .

Step-1: Prime Factorization of 35706

Prime factors of 35706 are 2, 3, 11, 541. Prime factorization of 35706 in exponential form is:

35706 = 2¹ × 3¹ × 11¹ × 541¹

Step-2: Prime Factorization of 35723

Prime factors of 35723 are 139, 257. Prime factorization of 35723 in exponential form is:

35723 = 139¹ × 257¹

Step-3: Factors of 35706

List of positive integer factors of 35706 that divides 35706 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 541, 1082, 1623, 3246, 5951, 11902, 17853

Step-4: Factors of 35723

List of positive integer factors of 35723 that divides 35706 without a remainder.

1, 139, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35706 and 35723. The biggest common factor number is the GCF number.
So the greatest common factor 35706 and 35723 is 1.

Also check out the Least Common Multiple of 35706 and 35723