What is the Greatest Common Factor of 35408 and 35414?

Greatest common factor (GCF) of 35408 and 35414 is 2.

GCF(35408,35414) = 2

We will now calculate the prime factors of 35408 and 35414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35408 and 35414.

How to find the GCF of 35408 and 35414?

We will first find the prime factorization of 35408 and 35414. After we will calculate the factors of 35408 and 35414 and find the biggest common factor number .

Step-1: Prime Factorization of 35408

Prime factors of 35408 are 2, 2213. Prime factorization of 35408 in exponential form is:

35408 = 2⁴ × 2213¹

Step-2: Prime Factorization of 35414

Prime factors of 35414 are 2, 17707. Prime factorization of 35414 in exponential form is:

35414 = 2¹ × 17707¹

Step-3: Factors of 35408

List of positive integer factors of 35408 that divides 35408 without a remainder.

1, 2, 4, 8, 16, 2213, 4426, 8852, 17704

Step-4: Factors of 35414

List of positive integer factors of 35414 that divides 35408 without a remainder.

1, 2, 17707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35408 and 35414. The biggest common factor number is the GCF number.
So the greatest common factor 35408 and 35414 is 2.

Also check out the Least Common Multiple of 35408 and 35414