What is the Greatest Common Factor of 54060 and 54064?

Greatest common factor (GCF) of 54060 and 54064 is 4.

GCF(54060,54064) = 4

We will now calculate the prime factors of 54060 and 54064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54060 and 54064.

How to find the GCF of 54060 and 54064?

We will first find the prime factorization of 54060 and 54064. After we will calculate the factors of 54060 and 54064 and find the biggest common factor number .

Step-1: Prime Factorization of 54060

Prime factors of 54060 are 2, 3, 5, 17, 53. Prime factorization of 54060 in exponential form is:

54060 = 2² × 3¹ × 5¹ × 17¹ × 53¹

Step-2: Prime Factorization of 54064

Prime factors of 54064 are 2, 31, 109. Prime factorization of 54064 in exponential form is:

54064 = 2⁴ × 31¹ × 109¹

Step-3: Factors of 54060

List of positive integer factors of 54060 that divides 54060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 53, 60, 68, 85, 102, 106, 159, 170, 204, 212, 255, 265, 318, 340, 510, 530, 636, 795, 901, 1020, 1060, 1590, 1802, 2703, 3180, 3604, 4505, 5406, 9010, 10812, 13515, 18020, 27030

Step-4: Factors of 54064

List of positive integer factors of 54064 that divides 54060 without a remainder.

1, 2, 4, 8, 16, 31, 62, 109, 124, 218, 248, 436, 496, 872, 1744, 3379, 6758, 13516, 27032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54060 and 54064. The biggest common factor number is the GCF number.
So the greatest common factor 54060 and 54064 is 4.

Also check out the Least Common Multiple of 54060 and 54064