What is the Greatest Common Factor of 61194 and 61214?

Greatest common factor (GCF) of 61194 and 61214 is 2.

GCF(61194,61214) = 2

We will now calculate the prime factors of 61194 and 61214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61194 and 61214.

How to find the GCF of 61194 and 61214?

We will first find the prime factorization of 61194 and 61214. After we will calculate the factors of 61194 and 61214 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 61214

Prime factors of 61214 are 2, 127, 241. Prime factorization of 61214 in exponential form is:

61214 = 2¹ × 127¹ × 241¹

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 61214

List of positive integer factors of 61214 that divides 61194 without a remainder.

1, 2, 127, 241, 254, 482, 30607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61194 and 61214. The biggest common factor number is the GCF number.
So the greatest common factor 61194 and 61214 is 2.

Also check out the Least Common Multiple of 61194 and 61214