What is the Greatest Common Factor of 61224 and 61228?

Greatest common factor (GCF) of 61224 and 61228 is 4.

GCF(61224,61228) = 4

We will now calculate the prime factors of 61224 and 61228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61224 and 61228.

How to find the GCF of 61224 and 61228?

We will first find the prime factorization of 61224 and 61228. After we will calculate the factors of 61224 and 61228 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 61228

Prime factors of 61228 are 2, 15307. Prime factorization of 61228 in exponential form is:

61228 = 2² × 15307¹

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 61228

List of positive integer factors of 61228 that divides 61224 without a remainder.

1, 2, 4, 15307, 30614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61224 and 61228. The biggest common factor number is the GCF number.
So the greatest common factor 61224 and 61228 is 4.

Also check out the Least Common Multiple of 61224 and 61228