What is the Greatest Common Factor of 61096 and 61103?

Greatest common factor (GCF) of 61096 and 61103 is 7.

GCF(61096,61103) = 7

We will now calculate the prime factors of 61096 and 61103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61096 and 61103.

How to find the GCF of 61096 and 61103?

We will first find the prime factorization of 61096 and 61103. After we will calculate the factors of 61096 and 61103 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61103

Prime factors of 61103 are 7, 29, 43. Prime factorization of 61103 in exponential form is:

61103 = 7² × 29¹ × 43¹

Step-3: Factors of 61096

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

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

Step-4: Factors of 61103

List of positive integer factors of 61103 that divides 61096 without a remainder.

1, 7, 29, 43, 49, 203, 301, 1247, 1421, 2107, 8729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61096 and 61103. The biggest common factor number is the GCF number.
So the greatest common factor 61096 and 61103 is 7.

Also check out the Least Common Multiple of 61096 and 61103