What is the Greatest Common Factor of 61050 and 61070?

Greatest common factor (GCF) of 61050 and 61070 is 10.

GCF(61050,61070) = 10

We will now calculate the prime factors of 61050 and 61070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61050 and 61070.

How to find the GCF of 61050 and 61070?

We will first find the prime factorization of 61050 and 61070. After we will calculate the factors of 61050 and 61070 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 61070

Prime factors of 61070 are 2, 5, 31, 197. Prime factorization of 61070 in exponential form is:

61070 = 2¹ × 5¹ × 31¹ × 197¹

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 61070

List of positive integer factors of 61070 that divides 61050 without a remainder.

1, 2, 5, 10, 31, 62, 155, 197, 310, 394, 985, 1970, 6107, 12214, 30535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61050 and 61070. The biggest common factor number is the GCF number.
So the greatest common factor 61050 and 61070 is 10.

Also check out the Least Common Multiple of 61050 and 61070