What is the Greatest Common Factor of 22562 and 22575?

Greatest common factor (GCF) of 22562 and 22575 is 1.

GCF(22562,22575) = 1

We will now calculate the prime factors of 22562 and 22575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22562 and 22575.

How to find the GCF of 22562 and 22575?

We will first find the prime factorization of 22562 and 22575. After we will calculate the factors of 22562 and 22575 and find the biggest common factor number .

Step-1: Prime Factorization of 22562

Prime factors of 22562 are 2, 29, 389. Prime factorization of 22562 in exponential form is:

22562 = 2¹ × 29¹ × 389¹

Step-2: Prime Factorization of 22575

Prime factors of 22575 are 3, 5, 7, 43. Prime factorization of 22575 in exponential form is:

22575 = 3¹ × 5² × 7¹ × 43¹

Step-3: Factors of 22562

List of positive integer factors of 22562 that divides 22562 without a remainder.

1, 2, 29, 58, 389, 778, 11281

Step-4: Factors of 22575

List of positive integer factors of 22575 that divides 22562 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 43, 75, 105, 129, 175, 215, 301, 525, 645, 903, 1075, 1505, 3225, 4515, 7525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22562 and 22575. The biggest common factor number is the GCF number.
So the greatest common factor 22562 and 22575 is 1.

Also check out the Least Common Multiple of 22562 and 22575