What is the Greatest Common Factor of 35290 and 35294?

Greatest common factor (GCF) of 35290 and 35294 is 2.

GCF(35290,35294) = 2

We will now calculate the prime factors of 35290 and 35294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35290 and 35294.

How to find the GCF of 35290 and 35294?

We will first find the prime factorization of 35290 and 35294. After we will calculate the factors of 35290 and 35294 and find the biggest common factor number .

Step-1: Prime Factorization of 35290

Prime factors of 35290 are 2, 5, 3529. Prime factorization of 35290 in exponential form is:

35290 = 2¹ × 5¹ × 3529¹

Step-2: Prime Factorization of 35294

Prime factors of 35294 are 2, 7, 2521. Prime factorization of 35294 in exponential form is:

35294 = 2¹ × 7¹ × 2521¹

Step-3: Factors of 35290

List of positive integer factors of 35290 that divides 35290 without a remainder.

1, 2, 5, 10, 3529, 7058, 17645

Step-4: Factors of 35294

List of positive integer factors of 35294 that divides 35290 without a remainder.

1, 2, 7, 14, 2521, 5042, 17647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35290 and 35294. The biggest common factor number is the GCF number.
So the greatest common factor 35290 and 35294 is 2.

Also check out the Least Common Multiple of 35290 and 35294