What is the Greatest Common Factor of 61044 and 61050?

Greatest common factor (GCF) of 61044 and 61050 is 6.

GCF(61044,61050) = 6

We will now calculate the prime factors of 61044 and 61050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61044 and 61050.

How to find the GCF of 61044 and 61050?

We will first find the prime factorization of 61044 and 61050. After we will calculate the factors of 61044 and 61050 and find the biggest common factor number .

Step-1: Prime Factorization of 61044

Prime factors of 61044 are 2, 3, 5087. Prime factorization of 61044 in exponential form is:

61044 = 2² × 3¹ × 5087¹

Step-2: Prime Factorization of 61050

Prime factors of 61050 are 2, 3, 5, 11, 37. Prime factorization of 61050 in exponential form is:

61050 = 2¹ × 3¹ × 5² × 11¹ × 37¹

Step-3: Factors of 61044

List of positive integer factors of 61044 that divides 61044 without a remainder.

1, 2, 3, 4, 6, 12, 5087, 10174, 15261, 20348, 30522

Step-4: Factors of 61050

List of positive integer factors of 61050 that divides 61044 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 37, 50, 55, 66, 74, 75, 110, 111, 150, 165, 185, 222, 275, 330, 370, 407, 550, 555, 814, 825, 925, 1110, 1221, 1650, 1850, 2035, 2442, 2775, 4070, 5550, 6105, 10175, 12210, 20350, 30525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61044 and 61050. The biggest common factor number is the GCF number.
So the greatest common factor 61044 and 61050 is 6.

Also check out the Least Common Multiple of 61044 and 61050