What is the Greatest Common Factor of 54660 and 54670?

Greatest common factor (GCF) of 54660 and 54670 is 10.

GCF(54660,54670) = 10

We will now calculate the prime factors of 54660 and 54670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54660 and 54670.

How to find the GCF of 54660 and 54670?

We will first find the prime factorization of 54660 and 54670. After we will calculate the factors of 54660 and 54670 and find the biggest common factor number .

Step-1: Prime Factorization of 54660

Prime factors of 54660 are 2, 3, 5, 911. Prime factorization of 54660 in exponential form is:

54660 = 2² × 3¹ × 5¹ × 911¹

Step-2: 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-3: Factors of 54660

List of positive integer factors of 54660 that divides 54660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 911, 1822, 2733, 3644, 4555, 5466, 9110, 10932, 13665, 18220, 27330

Step-4: Factors of 54670

List of positive integer factors of 54670 that divides 54660 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54660 and 54670. The biggest common factor number is the GCF number.
So the greatest common factor 54660 and 54670 is 10.

Also check out the Least Common Multiple of 54660 and 54670