What is the Greatest Common Factor of 54190 and 54200?

Greatest common factor (GCF) of 54190 and 54200 is 10.

GCF(54190,54200) = 10

We will now calculate the prime factors of 54190 and 54200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54190 and 54200.

How to find the GCF of 54190 and 54200?

We will first find the prime factorization of 54190 and 54200. After we will calculate the factors of 54190 and 54200 and find the biggest common factor number .

Step-1: Prime Factorization of 54190

Prime factors of 54190 are 2, 5, 5419. Prime factorization of 54190 in exponential form is:

54190 = 2¹ × 5¹ × 5419¹

Step-2: Prime Factorization of 54200

Prime factors of 54200 are 2, 5, 271. Prime factorization of 54200 in exponential form is:

54200 = 2³ × 5² × 271¹

Step-3: Factors of 54190

List of positive integer factors of 54190 that divides 54190 without a remainder.

1, 2, 5, 10, 5419, 10838, 27095

Step-4: Factors of 54200

List of positive integer factors of 54200 that divides 54190 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 271, 542, 1084, 1355, 2168, 2710, 5420, 6775, 10840, 13550, 27100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54190 and 54200. The biggest common factor number is the GCF number.
So the greatest common factor 54190 and 54200 is 10.

Also check out the Least Common Multiple of 54190 and 54200