What is the Greatest Common Factor of 61040 and 61050?

Greatest common factor (GCF) of 61040 and 61050 is 10.

GCF(61040,61050) = 10

We will now calculate the prime factors of 61040 and 61050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61040 and 61050.

How to find the GCF of 61040 and 61050?

We will first find the prime factorization of 61040 and 61050. After we will calculate the factors of 61040 and 61050 and find the biggest common factor number .

Step-1: Prime Factorization of 61040

Prime factors of 61040 are 2, 5, 7, 109. Prime factorization of 61040 in exponential form is:

61040 = 2⁴ × 5¹ × 7¹ × 109¹

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 61040

List of positive integer factors of 61040 that divides 61040 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 109, 112, 140, 218, 280, 436, 545, 560, 763, 872, 1090, 1526, 1744, 2180, 3052, 3815, 4360, 6104, 7630, 8720, 12208, 15260, 30520

Step-4: Factors of 61050

List of positive integer factors of 61050 that divides 61040 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 61040 and 61050. The biggest common factor number is the GCF number.
So the greatest common factor 61040 and 61050 is 10.

Also check out the Least Common Multiple of 61040 and 61050