What is the Greatest Common Factor of 61050 and 61058?

Greatest common factor (GCF) of 61050 and 61058 is 2.

GCF(61050,61058) = 2

We will now calculate the prime factors of 61050 and 61058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61050 and 61058.

How to find the GCF of 61050 and 61058?

We will first find the prime factorization of 61050 and 61058. After we will calculate the factors of 61050 and 61058 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 61058

Prime factors of 61058 are 2, 30529. Prime factorization of 61058 in exponential form is:

61058 = 2¹ × 30529¹

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 61058

List of positive integer factors of 61058 that divides 61050 without a remainder.

1, 2, 30529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61050 and 61058. The biggest common factor number is the GCF number.
So the greatest common factor 61050 and 61058 is 2.

Also check out the Least Common Multiple of 61050 and 61058