What is the Greatest Common Factor of 54060 and 54070?

Greatest common factor (GCF) of 54060 and 54070 is 10.

GCF(54060,54070) = 10

We will now calculate the prime factors of 54060 and 54070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54060 and 54070.

How to find the GCF of 54060 and 54070?

We will first find the prime factorization of 54060 and 54070. After we will calculate the factors of 54060 and 54070 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 54070

Prime factors of 54070 are 2, 5, 5407. Prime factorization of 54070 in exponential form is:

54070 = 2¹ × 5¹ × 5407¹

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 54070

List of positive integer factors of 54070 that divides 54060 without a remainder.

1, 2, 5, 10, 5407, 10814, 27035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54060 and 54070. The biggest common factor number is the GCF number.
So the greatest common factor 54060 and 54070 is 10.

Also check out the Least Common Multiple of 54060 and 54070