What is the Greatest Common Factor of 22705 and 22722?

Greatest common factor (GCF) of 22705 and 22722 is 1.

GCF(22705,22722) = 1

We will now calculate the prime factors of 22705 and 22722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22705 and 22722.

How to find the GCF of 22705 and 22722?

We will first find the prime factorization of 22705 and 22722. After we will calculate the factors of 22705 and 22722 and find the biggest common factor number .

Step-1: Prime Factorization of 22705

Prime factors of 22705 are 5, 19, 239. Prime factorization of 22705 in exponential form is:

22705 = 5¹ × 19¹ × 239¹

Step-2: Prime Factorization of 22722

Prime factors of 22722 are 2, 3, 7, 541. Prime factorization of 22722 in exponential form is:

22722 = 2¹ × 3¹ × 7¹ × 541¹

Step-3: Factors of 22705

List of positive integer factors of 22705 that divides 22705 without a remainder.

1, 5, 19, 95, 239, 1195, 4541

Step-4: Factors of 22722

List of positive integer factors of 22722 that divides 22705 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 541, 1082, 1623, 3246, 3787, 7574, 11361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22705 and 22722. The biggest common factor number is the GCF number.
So the greatest common factor 22705 and 22722 is 1.

Also check out the Least Common Multiple of 22705 and 22722