What is the Greatest Common Factor of 24402 and 24422?

Greatest common factor (GCF) of 24402 and 24422 is 2.

GCF(24402,24422) = 2

We will now calculate the prime factors of 24402 and 24422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24402 and 24422.

How to find the GCF of 24402 and 24422?

We will first find the prime factorization of 24402 and 24422. After we will calculate the factors of 24402 and 24422 and find the biggest common factor number .

Step-1: Prime Factorization of 24402

Prime factors of 24402 are 2, 3, 7, 83. Prime factorization of 24402 in exponential form is:

24402 = 2¹ × 3¹ × 7² × 83¹

Step-2: Prime Factorization of 24422

Prime factors of 24422 are 2, 12211. Prime factorization of 24422 in exponential form is:

24422 = 2¹ × 12211¹

Step-3: Factors of 24402

List of positive integer factors of 24402 that divides 24402 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 83, 98, 147, 166, 249, 294, 498, 581, 1162, 1743, 3486, 4067, 8134, 12201

Step-4: Factors of 24422

List of positive integer factors of 24422 that divides 24402 without a remainder.

1, 2, 12211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24402 and 24422. The biggest common factor number is the GCF number.
So the greatest common factor 24402 and 24422 is 2.

Also check out the Least Common Multiple of 24402 and 24422