What is the Greatest Common Factor of 96945 and 96949?

Greatest common factor (GCF) of 96945 and 96949 is 1.

GCF(96945,96949) = 1

We will now calculate the prime factors of 96945 and 96949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96945 and 96949.

How to find the GCF of 96945 and 96949?

We will first find the prime factorization of 96945 and 96949. After we will calculate the factors of 96945 and 96949 and find the biggest common factor number .

Step-1: Prime Factorization of 96945

Prime factors of 96945 are 3, 5, 23, 281. Prime factorization of 96945 in exponential form is:

96945 = 3¹ × 5¹ × 23¹ × 281¹

Step-2: Prime Factorization of 96949

Prime factors of 96949 are 67, 1447. Prime factorization of 96949 in exponential form is:

96949 = 67¹ × 1447¹

Step-3: Factors of 96945

List of positive integer factors of 96945 that divides 96945 without a remainder.

1, 3, 5, 15, 23, 69, 115, 281, 345, 843, 1405, 4215, 6463, 19389, 32315

Step-4: Factors of 96949

List of positive integer factors of 96949 that divides 96945 without a remainder.

1, 67, 1447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96945 and 96949. The biggest common factor number is the GCF number.
So the greatest common factor 96945 and 96949 is 1.

Also check out the Least Common Multiple of 96945 and 96949