What is the Greatest Common Factor of 35427 and 35441?

Greatest common factor (GCF) of 35427 and 35441 is 7.

GCF(35427,35441) = 7

We will now calculate the prime factors of 35427 and 35441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35427 and 35441.

How to find the GCF of 35427 and 35441?

We will first find the prime factorization of 35427 and 35441. After we will calculate the factors of 35427 and 35441 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35441

Prime factors of 35441 are 7, 61, 83. Prime factorization of 35441 in exponential form is:

35441 = 7¹ × 61¹ × 83¹

Step-3: Factors of 35427

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

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

Step-4: Factors of 35441

List of positive integer factors of 35441 that divides 35427 without a remainder.

1, 7, 61, 83, 427, 581, 5063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35427 and 35441. The biggest common factor number is the GCF number.
So the greatest common factor 35427 and 35441 is 7.

Also check out the Least Common Multiple of 35427 and 35441