What is the Greatest Common Factor of 61089 and 61096?

Greatest common factor (GCF) of 61089 and 61096 is 7.

GCF(61089,61096) = 7

We will now calculate the prime factors of 61089 and 61096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61089 and 61096.

How to find the GCF of 61089 and 61096?

We will first find the prime factorization of 61089 and 61096. After we will calculate the factors of 61089 and 61096 and find the biggest common factor number .

Step-1: Prime Factorization of 61089

Prime factors of 61089 are 3, 7, 2909. Prime factorization of 61089 in exponential form is:

61089 = 3¹ × 7¹ × 2909¹

Step-2: Prime Factorization of 61096

Prime factors of 61096 are 2, 7, 1091. Prime factorization of 61096 in exponential form is:

61096 = 2³ × 7¹ × 1091¹

Step-3: Factors of 61089

List of positive integer factors of 61089 that divides 61089 without a remainder.

1, 3, 7, 21, 2909, 8727, 20363

Step-4: Factors of 61096

List of positive integer factors of 61096 that divides 61089 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1091, 2182, 4364, 7637, 8728, 15274, 30548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61089 and 61096. The biggest common factor number is the GCF number.
So the greatest common factor 61089 and 61096 is 7.

Also check out the Least Common Multiple of 61089 and 61096