What is the Greatest Common Factor of 35374 and 35386?

Greatest common factor (GCF) of 35374 and 35386 is 2.

GCF(35374,35386) = 2

We will now calculate the prime factors of 35374 and 35386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35374 and 35386.

How to find the GCF of 35374 and 35386?

We will first find the prime factorization of 35374 and 35386. After we will calculate the factors of 35374 and 35386 and find the biggest common factor number .

Step-1: Prime Factorization of 35374

Prime factors of 35374 are 2, 23, 769. Prime factorization of 35374 in exponential form is:

35374 = 2¹ × 23¹ × 769¹

Step-2: Prime Factorization of 35386

Prime factors of 35386 are 2, 13, 1361. Prime factorization of 35386 in exponential form is:

35386 = 2¹ × 13¹ × 1361¹

Step-3: Factors of 35374

List of positive integer factors of 35374 that divides 35374 without a remainder.

1, 2, 23, 46, 769, 1538, 17687

Step-4: Factors of 35386

List of positive integer factors of 35386 that divides 35374 without a remainder.

1, 2, 13, 26, 1361, 2722, 17693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35374 and 35386. The biggest common factor number is the GCF number.
So the greatest common factor 35374 and 35386 is 2.

Also check out the Least Common Multiple of 35374 and 35386