What is the Greatest Common Factor of 61226 and 61240?

Greatest common factor (GCF) of 61226 and 61240 is 2.

GCF(61226,61240) = 2

We will now calculate the prime factors of 61226 and 61240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61226 and 61240.

How to find the GCF of 61226 and 61240?

We will first find the prime factorization of 61226 and 61240. After we will calculate the factors of 61226 and 61240 and find the biggest common factor number .

Step-1: Prime Factorization of 61226

Prime factors of 61226 are 2, 11, 23. Prime factorization of 61226 in exponential form is:

61226 = 2¹ × 11³ × 23¹

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 61226

List of positive integer factors of 61226 that divides 61226 without a remainder.

1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 1331, 2662, 2783, 5566, 30613

Step-4: Factors of 61240

List of positive integer factors of 61240 that divides 61226 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 61226 and 61240. The biggest common factor number is the GCF number.
So the greatest common factor 61226 and 61240 is 2.

Also check out the Least Common Multiple of 61226 and 61240