What is the Greatest Common Factor of 61224 and 61236?

Greatest common factor (GCF) of 61224 and 61236 is 12.

GCF(61224,61236) = 12

We will now calculate the prime factors of 61224 and 61236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61224 and 61236.

How to find the GCF of 61224 and 61236?

We will first find the prime factorization of 61224 and 61236. After we will calculate the factors of 61224 and 61236 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 61236

Prime factors of 61236 are 2, 3, 7. Prime factorization of 61236 in exponential form is:

61236 = 2² × 3⁷ × 7¹

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 61236

List of positive integer factors of 61236 that divides 61224 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 729, 756, 972, 1134, 1458, 1701, 2187, 2268, 2916, 3402, 4374, 5103, 6804, 8748, 10206, 15309, 20412, 30618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61224 and 61236. The biggest common factor number is the GCF number.
So the greatest common factor 61224 and 61236 is 12.

Also check out the Least Common Multiple of 61224 and 61236