What is the Greatest Common Factor of 22374 and 22380?

Greatest common factor (GCF) of 22374 and 22380 is 6.

GCF(22374,22380) = 6

We will now calculate the prime factors of 22374 and 22380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22374 and 22380.

How to find the GCF of 22374 and 22380?

We will first find the prime factorization of 22374 and 22380. After we will calculate the factors of 22374 and 22380 and find the biggest common factor number .

Step-1: Prime Factorization of 22374

Prime factors of 22374 are 2, 3, 11, 113. Prime factorization of 22374 in exponential form is:

22374 = 2¹ × 3² × 11¹ × 113¹

Step-2: Prime Factorization of 22380

Prime factors of 22380 are 2, 3, 5, 373. Prime factorization of 22380 in exponential form is:

22380 = 2² × 3¹ × 5¹ × 373¹

Step-3: Factors of 22374

List of positive integer factors of 22374 that divides 22374 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 113, 198, 226, 339, 678, 1017, 1243, 2034, 2486, 3729, 7458, 11187

Step-4: Factors of 22380

List of positive integer factors of 22380 that divides 22374 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 373, 746, 1119, 1492, 1865, 2238, 3730, 4476, 5595, 7460, 11190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22374 and 22380. The biggest common factor number is the GCF number.
So the greatest common factor 22374 and 22380 is 6.

Also check out the Least Common Multiple of 22374 and 22380