What is the Greatest Common Factor of 54194 and 54201?

Greatest common factor (GCF) of 54194 and 54201 is 7.

GCF(54194,54201) = 7

We will now calculate the prime factors of 54194 and 54201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54194 and 54201.

How to find the GCF of 54194 and 54201?

We will first find the prime factorization of 54194 and 54201. After we will calculate the factors of 54194 and 54201 and find the biggest common factor number .

Step-1: Prime Factorization of 54194

Prime factors of 54194 are 2, 7, 79. Prime factorization of 54194 in exponential form is:

54194 = 2¹ × 7³ × 79¹

Step-2: Prime Factorization of 54201

Prime factors of 54201 are 3, 7, 29, 89. Prime factorization of 54201 in exponential form is:

54201 = 3¹ × 7¹ × 29¹ × 89¹

Step-3: Factors of 54194

List of positive integer factors of 54194 that divides 54194 without a remainder.

1, 2, 7, 14, 49, 79, 98, 158, 343, 553, 686, 1106, 3871, 7742, 27097

Step-4: Factors of 54201

List of positive integer factors of 54201 that divides 54194 without a remainder.

1, 3, 7, 21, 29, 87, 89, 203, 267, 609, 623, 1869, 2581, 7743, 18067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54194 and 54201. The biggest common factor number is the GCF number.
So the greatest common factor 54194 and 54201 is 7.

Also check out the Least Common Multiple of 54194 and 54201