What is the Greatest Common Factor of 97648 and 97652?

Greatest common factor (GCF) of 97648 and 97652 is 4.

GCF(97648,97652) = 4

We will now calculate the prime factors of 97648 and 97652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97648 and 97652.

How to find the GCF of 97648 and 97652?

We will first find the prime factorization of 97648 and 97652. After we will calculate the factors of 97648 and 97652 and find the biggest common factor number .

Step-1: Prime Factorization of 97648

Prime factors of 97648 are 2, 17, 359. Prime factorization of 97648 in exponential form is:

97648 = 2⁴ × 17¹ × 359¹

Step-2: Prime Factorization of 97652

Prime factors of 97652 are 2, 24413. Prime factorization of 97652 in exponential form is:

97652 = 2² × 24413¹

Step-3: Factors of 97648

List of positive integer factors of 97648 that divides 97648 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 359, 718, 1436, 2872, 5744, 6103, 12206, 24412, 48824

Step-4: Factors of 97652

List of positive integer factors of 97652 that divides 97648 without a remainder.

1, 2, 4, 24413, 48826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97648 and 97652. The biggest common factor number is the GCF number.
So the greatest common factor 97648 and 97652 is 4.

Also check out the Least Common Multiple of 97648 and 97652