What is the Greatest Common Factor of 54670 and 54678?

Greatest common factor (GCF) of 54670 and 54678 is 2.

GCF(54670,54678) = 2

We will now calculate the prime factors of 54670 and 54678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54670 and 54678.

How to find the GCF of 54670 and 54678?

We will first find the prime factorization of 54670 and 54678. After we will calculate the factors of 54670 and 54678 and find the biggest common factor number .

Step-1: Prime Factorization of 54670

Prime factors of 54670 are 2, 5, 7, 11, 71. Prime factorization of 54670 in exponential form is:

54670 = 2¹ × 5¹ × 7¹ × 11¹ × 71¹

Step-2: Prime Factorization of 54678

Prime factors of 54678 are 2, 3, 13, 701. Prime factorization of 54678 in exponential form is:

54678 = 2¹ × 3¹ × 13¹ × 701¹

Step-3: Factors of 54670

List of positive integer factors of 54670 that divides 54670 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 71, 77, 110, 142, 154, 355, 385, 497, 710, 770, 781, 994, 1562, 2485, 3905, 4970, 5467, 7810, 10934, 27335

Step-4: Factors of 54678

List of positive integer factors of 54678 that divides 54670 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 701, 1402, 2103, 4206, 9113, 18226, 27339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54670 and 54678. The biggest common factor number is the GCF number.
So the greatest common factor 54670 and 54678 is 2.

Also check out the Least Common Multiple of 54670 and 54678