What is the Greatest Common Factor of 28427 and 28434?

Greatest common factor (GCF) of 28427 and 28434 is 7.

GCF(28427,28434) = 7

We will now calculate the prime factors of 28427 and 28434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28427 and 28434.

How to find the GCF of 28427 and 28434?

We will first find the prime factorization of 28427 and 28434. After we will calculate the factors of 28427 and 28434 and find the biggest common factor number .

Step-1: Prime Factorization of 28427

Prime factors of 28427 are 7, 31, 131. Prime factorization of 28427 in exponential form is:

28427 = 7¹ × 31¹ × 131¹

Step-2: Prime Factorization of 28434

Prime factors of 28434 are 2, 3, 7, 677. Prime factorization of 28434 in exponential form is:

28434 = 2¹ × 3¹ × 7¹ × 677¹

Step-3: Factors of 28427

List of positive integer factors of 28427 that divides 28427 without a remainder.

1, 7, 31, 131, 217, 917, 4061

Step-4: Factors of 28434

List of positive integer factors of 28434 that divides 28427 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 677, 1354, 2031, 4062, 4739, 9478, 14217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28427 and 28434. The biggest common factor number is the GCF number.
So the greatest common factor 28427 and 28434 is 7.

Also check out the Least Common Multiple of 28427 and 28434