What is the Greatest Common Factor of 35697 and 35703?

Greatest common factor (GCF) of 35697 and 35703 is 3.

GCF(35697,35703) = 3

We will now calculate the prime factors of 35697 and 35703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35697 and 35703.

How to find the GCF of 35697 and 35703?

We will first find the prime factorization of 35697 and 35703. After we will calculate the factors of 35697 and 35703 and find the biggest common factor number .

Step-1: Prime Factorization of 35697

Prime factors of 35697 are 3, 73, 163. Prime factorization of 35697 in exponential form is:

35697 = 3¹ × 73¹ × 163¹

Step-2: Prime Factorization of 35703

Prime factors of 35703 are 3, 3967. Prime factorization of 35703 in exponential form is:

35703 = 3² × 3967¹

Step-3: Factors of 35697

List of positive integer factors of 35697 that divides 35697 without a remainder.

1, 3, 73, 163, 219, 489, 11899

Step-4: Factors of 35703

List of positive integer factors of 35703 that divides 35697 without a remainder.

1, 3, 9, 3967, 11901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35697 and 35703. The biggest common factor number is the GCF number.
So the greatest common factor 35697 and 35703 is 3.

Also check out the Least Common Multiple of 35697 and 35703