What is the Greatest Common Factor of 97084 and 97102?

Greatest common factor (GCF) of 97084 and 97102 is 2.

GCF(97084,97102) = 2

We will now calculate the prime factors of 97084 and 97102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97084 and 97102.

How to find the GCF of 97084 and 97102?

We will first find the prime factorization of 97084 and 97102. After we will calculate the factors of 97084 and 97102 and find the biggest common factor number .

Step-1: Prime Factorization of 97084

Prime factors of 97084 are 2, 13, 1867. Prime factorization of 97084 in exponential form is:

97084 = 2² × 13¹ × 1867¹

Step-2: Prime Factorization of 97102

Prime factors of 97102 are 2, 47, 1033. Prime factorization of 97102 in exponential form is:

97102 = 2¹ × 47¹ × 1033¹

Step-3: Factors of 97084

List of positive integer factors of 97084 that divides 97084 without a remainder.

1, 2, 4, 13, 26, 52, 1867, 3734, 7468, 24271, 48542

Step-4: Factors of 97102

List of positive integer factors of 97102 that divides 97084 without a remainder.

1, 2, 47, 94, 1033, 2066, 48551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97084 and 97102. The biggest common factor number is the GCF number.
So the greatest common factor 97084 and 97102 is 2.

Also check out the Least Common Multiple of 97084 and 97102