What is the Greatest Common Factor of 61148 and 61160?

Greatest common factor (GCF) of 61148 and 61160 is 4.

GCF(61148,61160) = 4

We will now calculate the prime factors of 61148 and 61160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61148 and 61160.

How to find the GCF of 61148 and 61160?

We will first find the prime factorization of 61148 and 61160. After we will calculate the factors of 61148 and 61160 and find the biggest common factor number .

Step-1: Prime Factorization of 61148

Prime factors of 61148 are 2, 15287. Prime factorization of 61148 in exponential form is:

61148 = 2² × 15287¹

Step-2: Prime Factorization of 61160

Prime factors of 61160 are 2, 5, 11, 139. Prime factorization of 61160 in exponential form is:

61160 = 2³ × 5¹ × 11¹ × 139¹

Step-3: Factors of 61148

List of positive integer factors of 61148 that divides 61148 without a remainder.

1, 2, 4, 15287, 30574

Step-4: Factors of 61160

List of positive integer factors of 61160 that divides 61148 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 139, 220, 278, 440, 556, 695, 1112, 1390, 1529, 2780, 3058, 5560, 6116, 7645, 12232, 15290, 30580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61148 and 61160. The biggest common factor number is the GCF number.
So the greatest common factor 61148 and 61160 is 4.

Also check out the Least Common Multiple of 61148 and 61160