What is the Greatest Common Factor of 97100 and 97105?

Greatest common factor (GCF) of 97100 and 97105 is 5.

GCF(97100,97105) = 5

We will now calculate the prime factors of 97100 and 97105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97100 and 97105.

How to find the GCF of 97100 and 97105?

We will first find the prime factorization of 97100 and 97105. After we will calculate the factors of 97100 and 97105 and find the biggest common factor number .

Step-1: Prime Factorization of 97100

Prime factors of 97100 are 2, 5, 971. Prime factorization of 97100 in exponential form is:

97100 = 2² × 5² × 971¹

Step-2: Prime Factorization of 97105

Prime factors of 97105 are 5, 19421. Prime factorization of 97105 in exponential form is:

97105 = 5¹ × 19421¹

Step-3: Factors of 97100

List of positive integer factors of 97100 that divides 97100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 971, 1942, 3884, 4855, 9710, 19420, 24275, 48550

Step-4: Factors of 97105

List of positive integer factors of 97105 that divides 97100 without a remainder.

1, 5, 19421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97100 and 97105. The biggest common factor number is the GCF number.
So the greatest common factor 97100 and 97105 is 5.

Also check out the Least Common Multiple of 97100 and 97105