What is the Greatest Common Factor of 61188 and 61192?

Greatest common factor (GCF) of 61188 and 61192 is 4.

GCF(61188,61192) = 4

We will now calculate the prime factors of 61188 and 61192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61188 and 61192.

How to find the GCF of 61188 and 61192?

We will first find the prime factorization of 61188 and 61192. After we will calculate the factors of 61188 and 61192 and find the biggest common factor number .

Step-1: Prime Factorization of 61188

Prime factors of 61188 are 2, 3, 5099. Prime factorization of 61188 in exponential form is:

61188 = 2² × 3¹ × 5099¹

Step-2: Prime Factorization of 61192

Prime factors of 61192 are 2, 7649. Prime factorization of 61192 in exponential form is:

61192 = 2³ × 7649¹

Step-3: Factors of 61188

List of positive integer factors of 61188 that divides 61188 without a remainder.

1, 2, 3, 4, 6, 12, 5099, 10198, 15297, 20396, 30594

Step-4: Factors of 61192

List of positive integer factors of 61192 that divides 61188 without a remainder.

1, 2, 4, 8, 7649, 15298, 30596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61188 and 61192. The biggest common factor number is the GCF number.
So the greatest common factor 61188 and 61192 is 4.

Also check out the Least Common Multiple of 61188 and 61192