What is the Greatest Common Factor of 61220 and 61230?

Greatest common factor (GCF) of 61220 and 61230 is 10.

GCF(61220,61230) = 10

We will now calculate the prime factors of 61220 and 61230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61220 and 61230.

How to find the GCF of 61220 and 61230?

We will first find the prime factorization of 61220 and 61230. After we will calculate the factors of 61220 and 61230 and find the biggest common factor number .

Step-1: Prime Factorization of 61220

Prime factors of 61220 are 2, 5, 3061. Prime factorization of 61220 in exponential form is:

61220 = 2² × 5¹ × 3061¹

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 61220

List of positive integer factors of 61220 that divides 61220 without a remainder.

1, 2, 4, 5, 10, 20, 3061, 6122, 12244, 15305, 30610

Step-4: Factors of 61230

List of positive integer factors of 61230 that divides 61220 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 61220 and 61230. The biggest common factor number is the GCF number.
So the greatest common factor 61220 and 61230 is 10.

Also check out the Least Common Multiple of 61220 and 61230