What is the Greatest Common Factor of 97964 and 97984?

Greatest common factor (GCF) of 97964 and 97984 is 4.

GCF(97964,97984) = 4

We will now calculate the prime factors of 97964 and 97984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97964 and 97984.

How to find the GCF of 97964 and 97984?

We will first find the prime factorization of 97964 and 97984. After we will calculate the factors of 97964 and 97984 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 97984

Prime factors of 97984 are 2, 1531. Prime factorization of 97984 in exponential form is:

97984 = 2⁶ × 1531¹

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 97984

List of positive integer factors of 97984 that divides 97964 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1531, 3062, 6124, 12248, 24496, 48992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97964 and 97984. The biggest common factor number is the GCF number.
So the greatest common factor 97964 and 97984 is 4.

Also check out the Least Common Multiple of 97964 and 97984