What is the Greatest Common Factor of 61224 and 61242?

Greatest common factor (GCF) of 61224 and 61242 is 6.

GCF(61224,61242) = 6

We will now calculate the prime factors of 61224 and 61242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61224 and 61242.

How to find the GCF of 61224 and 61242?

We will first find the prime factorization of 61224 and 61242. After we will calculate the factors of 61224 and 61242 and find the biggest common factor number .

Step-1: Prime Factorization of 61224

Prime factors of 61224 are 2, 3, 2551. Prime factorization of 61224 in exponential form is:

61224 = 2³ × 3¹ × 2551¹

Step-2: Prime Factorization of 61242

Prime factors of 61242 are 2, 3, 59, 173. Prime factorization of 61242 in exponential form is:

61242 = 2¹ × 3¹ × 59¹ × 173¹

Step-3: Factors of 61224

List of positive integer factors of 61224 that divides 61224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2551, 5102, 7653, 10204, 15306, 20408, 30612

Step-4: Factors of 61242

List of positive integer factors of 61242 that divides 61224 without a remainder.

1, 2, 3, 6, 59, 118, 173, 177, 346, 354, 519, 1038, 10207, 20414, 30621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61224 and 61242. The biggest common factor number is the GCF number.
So the greatest common factor 61224 and 61242 is 6.

Also check out the Least Common Multiple of 61224 and 61242