What is the Greatest Common Factor of 61194 and 61198?

Greatest common factor (GCF) of 61194 and 61198 is 2.

GCF(61194,61198) = 2

We will now calculate the prime factors of 61194 and 61198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61194 and 61198.

How to find the GCF of 61194 and 61198?

We will first find the prime factorization of 61194 and 61198. After we will calculate the factors of 61194 and 61198 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61198

Prime factors of 61198 are 2, 37, 827. Prime factorization of 61198 in exponential form is:

61198 = 2¹ × 37¹ × 827¹

Step-3: Factors of 61194

List of positive integer factors of 61194 that divides 61194 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

Step-4: Factors of 61198

List of positive integer factors of 61198 that divides 61194 without a remainder.

1, 2, 37, 74, 827, 1654, 30599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61194 and 61198. The biggest common factor number is the GCF number.
So the greatest common factor 61194 and 61198 is 2.

Also check out the Least Common Multiple of 61194 and 61198