What is the Greatest Common Factor of 62181 and 62196?

Greatest common factor (GCF) of 62181 and 62196 is 3.

GCF(62181,62196) = 3

We will now calculate the prime factors of 62181 and 62196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62181 and 62196.

How to find the GCF of 62181 and 62196?

We will first find the prime factorization of 62181 and 62196. After we will calculate the factors of 62181 and 62196 and find the biggest common factor number .

Step-1: Prime Factorization of 62181

Prime factors of 62181 are 3, 7, 47. Prime factorization of 62181 in exponential form is:

62181 = 3³ × 7² × 47¹

Step-2: Prime Factorization of 62196

Prime factors of 62196 are 2, 3, 71, 73. Prime factorization of 62196 in exponential form is:

62196 = 2² × 3¹ × 71¹ × 73¹

Step-3: Factors of 62181

List of positive integer factors of 62181 that divides 62181 without a remainder.

1, 3, 7, 9, 21, 27, 47, 49, 63, 141, 147, 189, 329, 423, 441, 987, 1269, 1323, 2303, 2961, 6909, 8883, 20727

Step-4: Factors of 62196

List of positive integer factors of 62196 that divides 62181 without a remainder.

1, 2, 3, 4, 6, 12, 71, 73, 142, 146, 213, 219, 284, 292, 426, 438, 852, 876, 5183, 10366, 15549, 20732, 31098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62181 and 62196. The biggest common factor number is the GCF number.
So the greatest common factor 62181 and 62196 is 3.

Also check out the Least Common Multiple of 62181 and 62196