What is the Greatest Common Factor of 56084 and 56098?

Greatest common factor (GCF) of 56084 and 56098 is 14.

GCF(56084,56098) = 14

We will now calculate the prime factors of 56084 and 56098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56084 and 56098.

How to find the GCF of 56084 and 56098?

We will first find the prime factorization of 56084 and 56098. After we will calculate the factors of 56084 and 56098 and find the biggest common factor number .

Step-1: Prime Factorization of 56084

Prime factors of 56084 are 2, 7, 2003. Prime factorization of 56084 in exponential form is:

56084 = 2² × 7¹ × 2003¹

Step-2: Prime Factorization of 56098

Prime factors of 56098 are 2, 7, 4007. Prime factorization of 56098 in exponential form is:

56098 = 2¹ × 7¹ × 4007¹

Step-3: Factors of 56084

List of positive integer factors of 56084 that divides 56084 without a remainder.

1, 2, 4, 7, 14, 28, 2003, 4006, 8012, 14021, 28042

Step-4: Factors of 56098

List of positive integer factors of 56098 that divides 56084 without a remainder.

1, 2, 7, 14, 4007, 8014, 28049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56084 and 56098. The biggest common factor number is the GCF number.
So the greatest common factor 56084 and 56098 is 14.

Also check out the Least Common Multiple of 56084 and 56098