What is the Greatest Common Factor of 55722 and 55730?

Greatest common factor (GCF) of 55722 and 55730 is 2.

GCF(55722,55730) = 2

We will now calculate the prime factors of 55722 and 55730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55722 and 55730.

How to find the GCF of 55722 and 55730?

We will first find the prime factorization of 55722 and 55730. After we will calculate the factors of 55722 and 55730 and find the biggest common factor number .

Step-1: Prime Factorization of 55722

Prime factors of 55722 are 2, 3, 37, 251. Prime factorization of 55722 in exponential form is:

55722 = 2¹ × 3¹ × 37¹ × 251¹

Step-2: Prime Factorization of 55730

Prime factors of 55730 are 2, 5, 5573. Prime factorization of 55730 in exponential form is:

55730 = 2¹ × 5¹ × 5573¹

Step-3: Factors of 55722

List of positive integer factors of 55722 that divides 55722 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 251, 502, 753, 1506, 9287, 18574, 27861

Step-4: Factors of 55730

List of positive integer factors of 55730 that divides 55722 without a remainder.

1, 2, 5, 10, 5573, 11146, 27865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55722 and 55730. The biggest common factor number is the GCF number.
So the greatest common factor 55722 and 55730 is 2.

Also check out the Least Common Multiple of 55722 and 55730