What is the Greatest Common Factor of 48097 and 48114?

Greatest common factor (GCF) of 48097 and 48114 is 1.

GCF(48097,48114) = 1

We will now calculate the prime factors of 48097 and 48114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48097 and 48114.

How to find the GCF of 48097 and 48114?

We will first find the prime factorization of 48097 and 48114. After we will calculate the factors of 48097 and 48114 and find the biggest common factor number .

Step-1: Prime Factorization of 48097

Prime factors of 48097 are 7, 6871. Prime factorization of 48097 in exponential form is:

48097 = 7¹ × 6871¹

Step-2: Prime Factorization of 48114

Prime factors of 48114 are 2, 3, 11. Prime factorization of 48114 in exponential form is:

48114 = 2¹ × 3⁷ × 11¹

Step-3: Factors of 48097

List of positive integer factors of 48097 that divides 48097 without a remainder.

1, 7, 6871

Step-4: Factors of 48114

List of positive integer factors of 48114 that divides 48097 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 729, 891, 1458, 1782, 2187, 2673, 4374, 5346, 8019, 16038, 24057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48097 and 48114. The biggest common factor number is the GCF number.
So the greatest common factor 48097 and 48114 is 1.

Also check out the Least Common Multiple of 48097 and 48114