What is the Greatest Common Factor of 55250 and 55261?

Greatest common factor (GCF) of 55250 and 55261 is 1.

GCF(55250,55261) = 1

We will now calculate the prime factors of 55250 and 55261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55250 and 55261.

How to find the GCF of 55250 and 55261?

We will first find the prime factorization of 55250 and 55261. After we will calculate the factors of 55250 and 55261 and find the biggest common factor number .

Step-1: Prime Factorization of 55250

Prime factors of 55250 are 2, 5, 13, 17. Prime factorization of 55250 in exponential form is:

55250 = 2¹ × 5³ × 13¹ × 17¹

Step-2: Prime Factorization of 55261

Prime factors of 55261 are 73, 757. Prime factorization of 55261 in exponential form is:

55261 = 73¹ × 757¹

Step-3: Factors of 55250

List of positive integer factors of 55250 that divides 55250 without a remainder.

1, 2, 5, 10, 13, 17, 25, 26, 34, 50, 65, 85, 125, 130, 170, 221, 250, 325, 425, 442, 650, 850, 1105, 1625, 2125, 2210, 3250, 4250, 5525, 11050, 27625

Step-4: Factors of 55261

List of positive integer factors of 55261 that divides 55250 without a remainder.

1, 73, 757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55250 and 55261. The biggest common factor number is the GCF number.
So the greatest common factor 55250 and 55261 is 1.

Also check out the Least Common Multiple of 55250 and 55261