What is the Greatest Common Factor of 97072 and 97080?

Greatest common factor (GCF) of 97072 and 97080 is 8.

GCF(97072,97080) = 8

We will now calculate the prime factors of 97072 and 97080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97072 and 97080.

How to find the GCF of 97072 and 97080?

We will first find the prime factorization of 97072 and 97080. After we will calculate the factors of 97072 and 97080 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 97080

Prime factors of 97080 are 2, 3, 5, 809. Prime factorization of 97080 in exponential form is:

97080 = 2³ × 3¹ × 5¹ × 809¹

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 97080

List of positive integer factors of 97080 that divides 97072 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 809, 1618, 2427, 3236, 4045, 4854, 6472, 8090, 9708, 12135, 16180, 19416, 24270, 32360, 48540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97072 and 97080. The biggest common factor number is the GCF number.
So the greatest common factor 97072 and 97080 is 8.

Also check out the Least Common Multiple of 97072 and 97080