What is the Greatest Common Factor of 48097 and 48102?

Greatest common factor (GCF) of 48097 and 48102 is 1.

GCF(48097,48102) = 1

We will now calculate the prime factors of 48097 and 48102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48097 and 48102.

How to find the GCF of 48097 and 48102?

We will first find the prime factorization of 48097 and 48102. After we will calculate the factors of 48097 and 48102 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 48102

Prime factors of 48102 are 2, 3, 8017. Prime factorization of 48102 in exponential form is:

48102 = 2¹ × 3¹ × 8017¹

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 48102

List of positive integer factors of 48102 that divides 48097 without a remainder.

1, 2, 3, 6, 8017, 16034, 24051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48097 and 48102. The biggest common factor number is the GCF number.
So the greatest common factor 48097 and 48102 is 1.

Also check out the Least Common Multiple of 48097 and 48102