What is the Greatest Common Factor of 22890 and 22907?

Greatest common factor (GCF) of 22890 and 22907 is 1.

GCF(22890,22907) = 1

We will now calculate the prime factors of 22890 and 22907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22890 and 22907.

How to find the GCF of 22890 and 22907?

We will first find the prime factorization of 22890 and 22907. After we will calculate the factors of 22890 and 22907 and find the biggest common factor number .

Step-1: Prime Factorization of 22890

Prime factors of 22890 are 2, 3, 5, 7, 109. Prime factorization of 22890 in exponential form is:

22890 = 2¹ × 3¹ × 5¹ × 7¹ × 109¹

Step-2: Prime Factorization of 22907

Prime factors of 22907 are 22907. Prime factorization of 22907 in exponential form is:

22907 = 22907¹

Step-3: Factors of 22890

List of positive integer factors of 22890 that divides 22890 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 109, 210, 218, 327, 545, 654, 763, 1090, 1526, 1635, 2289, 3270, 3815, 4578, 7630, 11445

Step-4: Factors of 22907

List of positive integer factors of 22907 that divides 22890 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22890 and 22907. The biggest common factor number is the GCF number.
So the greatest common factor 22890 and 22907 is 1.

Also check out the Least Common Multiple of 22890 and 22907