What is the Greatest Common Factor of 97072 and 97085?

Greatest common factor (GCF) of 97072 and 97085 is 1.

GCF(97072,97085) = 1

We will now calculate the prime factors of 97072 and 97085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97072 and 97085.

How to find the GCF of 97072 and 97085?

We will first find the prime factorization of 97072 and 97085. After we will calculate the factors of 97072 and 97085 and find the biggest common factor number .

Step-1: Prime Factorization of 97072

Prime factors of 97072 are 2, 6067. Prime factorization of 97072 in exponential form is:

97072 = 2⁴ × 6067¹

Step-2: Prime Factorization of 97085

Prime factors of 97085 are 5, 19417. Prime factorization of 97085 in exponential form is:

97085 = 5¹ × 19417¹

Step-3: Factors of 97072

List of positive integer factors of 97072 that divides 97072 without a remainder.

1, 2, 4, 8, 16, 6067, 12134, 24268, 48536

Step-4: Factors of 97085

List of positive integer factors of 97085 that divides 97072 without a remainder.

1, 5, 19417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97072 and 97085. The biggest common factor number is the GCF number.
So the greatest common factor 97072 and 97085 is 1.

Also check out the Least Common Multiple of 97072 and 97085