What is the Greatest Common Factor of 61180 and 61194?

Greatest common factor (GCF) of 61180 and 61194 is 14.

GCF(61180,61194) = 14

We will now calculate the prime factors of 61180 and 61194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61180 and 61194.

How to find the GCF of 61180 and 61194?

We will first find the prime factorization of 61180 and 61194. After we will calculate the factors of 61180 and 61194 and find the biggest common factor number .

Step-1: Prime Factorization of 61180

Prime factors of 61180 are 2, 5, 7, 19, 23. Prime factorization of 61180 in exponential form is:

61180 = 2² × 5¹ × 7¹ × 19¹ × 23¹

Step-2: Prime Factorization of 61194

Prime factors of 61194 are 2, 3, 7, 31, 47. Prime factorization of 61194 in exponential form is:

61194 = 2¹ × 3¹ × 7¹ × 31¹ × 47¹

Step-3: Factors of 61180

List of positive integer factors of 61180 that divides 61180 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 23, 28, 35, 38, 46, 70, 76, 92, 95, 115, 133, 140, 161, 190, 230, 266, 322, 380, 437, 460, 532, 644, 665, 805, 874, 1330, 1610, 1748, 2185, 2660, 3059, 3220, 4370, 6118, 8740, 12236, 15295, 30590

Step-4: Factors of 61194

List of positive integer factors of 61194 that divides 61180 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 47, 62, 93, 94, 141, 186, 217, 282, 329, 434, 651, 658, 987, 1302, 1457, 1974, 2914, 4371, 8742, 10199, 20398, 30597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61180 and 61194. The biggest common factor number is the GCF number.
So the greatest common factor 61180 and 61194 is 14.

Also check out the Least Common Multiple of 61180 and 61194