What is the Greatest Common Factor of 56414 and 56434?

Greatest common factor (GCF) of 56414 and 56434 is 2.

GCF(56414,56434) = 2

We will now calculate the prime factors of 56414 and 56434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56414 and 56434.

How to find the GCF of 56414 and 56434?

We will first find the prime factorization of 56414 and 56434. After we will calculate the factors of 56414 and 56434 and find the biggest common factor number .

Step-1: Prime Factorization of 56414

Prime factors of 56414 are 2, 67, 421. Prime factorization of 56414 in exponential form is:

56414 = 2¹ × 67¹ × 421¹

Step-2: Prime Factorization of 56434

Prime factors of 56434 are 2, 7, 29, 139. Prime factorization of 56434 in exponential form is:

56434 = 2¹ × 7¹ × 29¹ × 139¹

Step-3: Factors of 56414

List of positive integer factors of 56414 that divides 56414 without a remainder.

1, 2, 67, 134, 421, 842, 28207

Step-4: Factors of 56434

List of positive integer factors of 56434 that divides 56414 without a remainder.

1, 2, 7, 14, 29, 58, 139, 203, 278, 406, 973, 1946, 4031, 8062, 28217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56414 and 56434. The biggest common factor number is the GCF number.
So the greatest common factor 56414 and 56434 is 2.

Also check out the Least Common Multiple of 56414 and 56434