What is the Greatest Common Factor of 61230 and 61240?

Greatest common factor (GCF) of 61230 and 61240 is 10.

GCF(61230,61240) = 10

We will now calculate the prime factors of 61230 and 61240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61230 and 61240.

How to find the GCF of 61230 and 61240?

We will first find the prime factorization of 61230 and 61240. After we will calculate the factors of 61230 and 61240 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61240

Prime factors of 61240 are 2, 5, 1531. Prime factorization of 61240 in exponential form is:

61240 = 2³ × 5¹ × 1531¹

Step-3: Factors of 61230

List of positive integer factors of 61230 that divides 61230 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

Step-4: Factors of 61240

List of positive integer factors of 61240 that divides 61230 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1531, 3062, 6124, 7655, 12248, 15310, 30620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61230 and 61240. The biggest common factor number is the GCF number.
So the greatest common factor 61230 and 61240 is 10.

Also check out the Least Common Multiple of 61230 and 61240