What is the Greatest Common Factor of 54290 and 54306?

Greatest common factor (GCF) of 54290 and 54306 is 2.

GCF(54290,54306) = 2

We will now calculate the prime factors of 54290 and 54306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54290 and 54306.

How to find the GCF of 54290 and 54306?

We will first find the prime factorization of 54290 and 54306. After we will calculate the factors of 54290 and 54306 and find the biggest common factor number .

Step-1: Prime Factorization of 54290

Prime factors of 54290 are 2, 5, 61, 89. Prime factorization of 54290 in exponential form is:

54290 = 2¹ × 5¹ × 61¹ × 89¹

Step-2: Prime Factorization of 54306

Prime factors of 54306 are 2, 3, 7, 431. Prime factorization of 54306 in exponential form is:

54306 = 2¹ × 3² × 7¹ × 431¹

Step-3: Factors of 54290

List of positive integer factors of 54290 that divides 54290 without a remainder.

1, 2, 5, 10, 61, 89, 122, 178, 305, 445, 610, 890, 5429, 10858, 27145

Step-4: Factors of 54306

List of positive integer factors of 54306 that divides 54290 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 431, 862, 1293, 2586, 3017, 3879, 6034, 7758, 9051, 18102, 27153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54290 and 54306. The biggest common factor number is the GCF number.
So the greatest common factor 54290 and 54306 is 2.

Also check out the Least Common Multiple of 54290 and 54306