What is the Greatest Common Factor of 96544 and 96563?

Greatest common factor (GCF) of 96544 and 96563 is 1.

GCF(96544,96563) = 1

We will now calculate the prime factors of 96544 and 96563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96544 and 96563.

How to find the GCF of 96544 and 96563?

We will first find the prime factorization of 96544 and 96563. After we will calculate the factors of 96544 and 96563 and find the biggest common factor number .

Step-1: Prime Factorization of 96544

Prime factors of 96544 are 2, 7, 431. Prime factorization of 96544 in exponential form is:

96544 = 2⁵ × 7¹ × 431¹

Step-2: Prime Factorization of 96563

Prime factors of 96563 are 61, 1583. Prime factorization of 96563 in exponential form is:

96563 = 61¹ × 1583¹

Step-3: Factors of 96544

List of positive integer factors of 96544 that divides 96544 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 431, 862, 1724, 3017, 3448, 6034, 6896, 12068, 13792, 24136, 48272

Step-4: Factors of 96563

List of positive integer factors of 96563 that divides 96544 without a remainder.

1, 61, 1583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96544 and 96563. The biggest common factor number is the GCF number.
So the greatest common factor 96544 and 96563 is 1.

Also check out the Least Common Multiple of 96544 and 96563