What is the Greatest Common Factor of 97000 and 97010?

Greatest common factor (GCF) of 97000 and 97010 is 10.

GCF(97000,97010) = 10

We will now calculate the prime factors of 97000 and 97010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97000 and 97010.

How to find the GCF of 97000 and 97010?

We will first find the prime factorization of 97000 and 97010. After we will calculate the factors of 97000 and 97010 and find the biggest common factor number .

Step-1: Prime Factorization of 97000

Prime factors of 97000 are 2, 5, 97. Prime factorization of 97000 in exponential form is:

97000 = 2³ × 5³ × 97¹

Step-2: Prime Factorization of 97010

Prime factors of 97010 are 2, 5, 89, 109. Prime factorization of 97010 in exponential form is:

97010 = 2¹ × 5¹ × 89¹ × 109¹

Step-3: Factors of 97000

List of positive integer factors of 97000 that divides 97000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 97, 100, 125, 194, 200, 250, 388, 485, 500, 776, 970, 1000, 1940, 2425, 3880, 4850, 9700, 12125, 19400, 24250, 48500

Step-4: Factors of 97010

List of positive integer factors of 97010 that divides 97000 without a remainder.

1, 2, 5, 10, 89, 109, 178, 218, 445, 545, 890, 1090, 9701, 19402, 48505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97000 and 97010. The biggest common factor number is the GCF number.
So the greatest common factor 97000 and 97010 is 10.

Also check out the Least Common Multiple of 97000 and 97010