What is the Greatest Common Factor of 61050 and 61065?

Greatest common factor (GCF) of 61050 and 61065 is 15.

GCF(61050,61065) = 15

We will now calculate the prime factors of 61050 and 61065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61050 and 61065.

How to find the GCF of 61050 and 61065?

We will first find the prime factorization of 61050 and 61065. After we will calculate the factors of 61050 and 61065 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61065

Prime factors of 61065 are 3, 5, 23, 59. Prime factorization of 61065 in exponential form is:

61065 = 3² × 5¹ × 23¹ × 59¹

Step-3: Factors of 61050

List of positive integer factors of 61050 that divides 61050 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

Step-4: Factors of 61065

List of positive integer factors of 61065 that divides 61050 without a remainder.

1, 3, 5, 9, 15, 23, 45, 59, 69, 115, 177, 207, 295, 345, 531, 885, 1035, 1357, 2655, 4071, 6785, 12213, 20355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61050 and 61065. The biggest common factor number is the GCF number.
So the greatest common factor 61050 and 61065 is 15.

Also check out the Least Common Multiple of 61050 and 61065