What is the Greatest Common Factor of 22640 and 22655?
Greatest common factor (GCF) of 22640 and 22655 is 5.
GCF(22640,22655) = 5
We will now calculate the prime factors of 22640 and 22655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22640 and 22655.
How to find the GCF of 22640 and 22655?
We will first find the prime factorization of 22640 and 22655. After we will calculate the factors of 22640 and 22655 and find the biggest common factor number .
Step-1: Prime Factorization of 22640
Prime factors of 22640 are 2, 5, 283. Prime factorization of 22640 in exponential form is:
22640 = 24 × 51 × 2831
Step-2: Prime Factorization of 22655
Prime factors of 22655 are 5, 23, 197. Prime factorization of 22655 in exponential form is:
22655 = 51 × 231 × 1971
Step-3: Factors of 22640
List of positive integer factors of 22640 that divides 22640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 283, 566, 1132, 1415, 2264, 2830, 4528, 5660, 11320
Step-4: Factors of 22655
List of positive integer factors of 22655 that divides 22640 without a remainder.
1, 5, 23, 115, 197, 985, 4531
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 22640 and 22655. The biggest common factor number is the GCF number.
So the greatest common factor 22640 and 22655 is 5.
Also check out the Least Common Multiple of 22640 and 22655
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