What is the Greatest Common Factor of 35414 and 35427?

Greatest common factor (GCF) of 35414 and 35427 is 1.

GCF(35414,35427) = 1

We will now calculate the prime factors of 35414 and 35427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35414 and 35427.

How to find the GCF of 35414 and 35427?

We will first find the prime factorization of 35414 and 35427. After we will calculate the factors of 35414 and 35427 and find the biggest common factor number .

Step-1: Prime Factorization of 35414

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

35414 = 2¹ × 17707¹

Step-2: Prime Factorization of 35427

Prime factors of 35427 are 3, 7, 241. Prime factorization of 35427 in exponential form is:

35427 = 3¹ × 7² × 241¹

Step-3: Factors of 35414

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

1, 2, 17707

Step-4: Factors of 35427

List of positive integer factors of 35427 that divides 35414 without a remainder.

1, 3, 7, 21, 49, 147, 241, 723, 1687, 5061, 11809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35414 and 35427. The biggest common factor number is the GCF number.
So the greatest common factor 35414 and 35427 is 1.

Also check out the Least Common Multiple of 35414 and 35427