What is the Greatest Common Factor of 97964 and 97970?

Greatest common factor (GCF) of 97964 and 97970 is 2.

GCF(97964,97970) = 2

We will now calculate the prime factors of 97964 and 97970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97964 and 97970.

How to find the GCF of 97964 and 97970?

We will first find the prime factorization of 97964 and 97970. After we will calculate the factors of 97964 and 97970 and find the biggest common factor number .

Step-1: Prime Factorization of 97964

Prime factors of 97964 are 2, 19, 1289. Prime factorization of 97964 in exponential form is:

97964 = 2² × 19¹ × 1289¹

Step-2: Prime Factorization of 97970

Prime factors of 97970 are 2, 5, 97, 101. Prime factorization of 97970 in exponential form is:

97970 = 2¹ × 5¹ × 97¹ × 101¹

Step-3: Factors of 97964

List of positive integer factors of 97964 that divides 97964 without a remainder.

1, 2, 4, 19, 38, 76, 1289, 2578, 5156, 24491, 48982

Step-4: Factors of 97970

List of positive integer factors of 97970 that divides 97964 without a remainder.

1, 2, 5, 10, 97, 101, 194, 202, 485, 505, 970, 1010, 9797, 19594, 48985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97964 and 97970. The biggest common factor number is the GCF number.
So the greatest common factor 97964 and 97970 is 2.

Also check out the Least Common Multiple of 97964 and 97970