What is the Greatest Common Factor of 56094 and 56109?

Greatest common factor (GCF) of 56094 and 56109 is 3.

GCF(56094,56109) = 3

We will now calculate the prime factors of 56094 and 56109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56094 and 56109.

How to find the GCF of 56094 and 56109?

We will first find the prime factorization of 56094 and 56109. After we will calculate the factors of 56094 and 56109 and find the biggest common factor number .

Step-1: Prime Factorization of 56094

Prime factors of 56094 are 2, 3, 9349. Prime factorization of 56094 in exponential form is:

56094 = 2¹ × 3¹ × 9349¹

Step-2: Prime Factorization of 56109

Prime factors of 56109 are 3, 59, 317. Prime factorization of 56109 in exponential form is:

56109 = 3¹ × 59¹ × 317¹

Step-3: Factors of 56094

List of positive integer factors of 56094 that divides 56094 without a remainder.

1, 2, 3, 6, 9349, 18698, 28047

Step-4: Factors of 56109

List of positive integer factors of 56109 that divides 56094 without a remainder.

1, 3, 59, 177, 317, 951, 18703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56094 and 56109. The biggest common factor number is the GCF number.
So the greatest common factor 56094 and 56109 is 3.

Also check out the Least Common Multiple of 56094 and 56109