What is the Greatest Common Factor of 97664 and 97671?

Greatest common factor (GCF) of 97664 and 97671 is 7.

GCF(97664,97671) = 7

We will now calculate the prime factors of 97664 and 97671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97664 and 97671.

How to find the GCF of 97664 and 97671?

We will first find the prime factorization of 97664 and 97671. After we will calculate the factors of 97664 and 97671 and find the biggest common factor number .

Step-1: Prime Factorization of 97664

Prime factors of 97664 are 2, 7, 109. Prime factorization of 97664 in exponential form is:

97664 = 2⁷ × 7¹ × 109¹

Step-2: Prime Factorization of 97671

Prime factors of 97671 are 3, 7, 4651. Prime factorization of 97671 in exponential form is:

97671 = 3¹ × 7¹ × 4651¹

Step-3: Factors of 97664

List of positive integer factors of 97664 that divides 97664 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 109, 112, 128, 218, 224, 436, 448, 763, 872, 896, 1526, 1744, 3052, 3488, 6104, 6976, 12208, 13952, 24416, 48832

Step-4: Factors of 97671

List of positive integer factors of 97671 that divides 97664 without a remainder.

1, 3, 7, 21, 4651, 13953, 32557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97664 and 97671. The biggest common factor number is the GCF number.
So the greatest common factor 97664 and 97671 is 7.

Also check out the Least Common Multiple of 97664 and 97671