What is the Greatest Common Factor of 61050 and 61054?

Greatest common factor (GCF) of 61050 and 61054 is 2.

GCF(61050,61054) = 2

We will now calculate the prime factors of 61050 and 61054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61050 and 61054.

How to find the GCF of 61050 and 61054?

We will first find the prime factorization of 61050 and 61054. After we will calculate the factors of 61050 and 61054 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 61054

Prime factors of 61054 are 2, 7, 89. Prime factorization of 61054 in exponential form is:

61054 = 2¹ × 7³ × 89¹

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 61054

List of positive integer factors of 61054 that divides 61050 without a remainder.

1, 2, 7, 14, 49, 89, 98, 178, 343, 623, 686, 1246, 4361, 8722, 30527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61050 and 61054. The biggest common factor number is the GCF number.
So the greatest common factor 61050 and 61054 is 2.

Also check out the Least Common Multiple of 61050 and 61054