What is the Greatest Common Factor of 61212 and 61230?

Greatest common factor (GCF) of 61212 and 61230 is 6.

GCF(61212,61230) = 6

We will now calculate the prime factors of 61212 and 61230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61212 and 61230.

How to find the GCF of 61212 and 61230?

We will first find the prime factorization of 61212 and 61230. After we will calculate the factors of 61212 and 61230 and find the biggest common factor number .

Step-1: Prime Factorization of 61212

Prime factors of 61212 are 2, 3, 5101. Prime factorization of 61212 in exponential form is:

61212 = 2² × 3¹ × 5101¹

Step-2: Prime Factorization of 61230

Prime factors of 61230 are 2, 3, 5, 13, 157. Prime factorization of 61230 in exponential form is:

61230 = 2¹ × 3¹ × 5¹ × 13¹ × 157¹

Step-3: Factors of 61212

List of positive integer factors of 61212 that divides 61212 without a remainder.

1, 2, 3, 4, 6, 12, 5101, 10202, 15303, 20404, 30606

Step-4: Factors of 61230

List of positive integer factors of 61230 that divides 61212 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 157, 195, 314, 390, 471, 785, 942, 1570, 2041, 2355, 4082, 4710, 6123, 10205, 12246, 20410, 30615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61212 and 61230. The biggest common factor number is the GCF number.
So the greatest common factor 61212 and 61230 is 6.

Also check out the Least Common Multiple of 61212 and 61230