What is the Greatest Common Factor of 22092 and 22104?
Greatest common factor (GCF) of 22092 and 22104 is 12.
GCF(22092,22104) = 12
We will now calculate the prime factors of 22092 and 22104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22092 and 22104.
How to find the GCF of 22092 and 22104?
We will first find the prime factorization of 22092 and 22104. After we will calculate the factors of 22092 and 22104 and find the biggest common factor number .
Step-1: Prime Factorization of 22092
Prime factors of 22092 are 2, 3, 7, 263. Prime factorization of 22092 in exponential form is:
22092 = 22 × 31 × 71 × 2631
Step-2: Prime Factorization of 22104
Prime factors of 22104 are 2, 3, 307. Prime factorization of 22104 in exponential form is:
22104 = 23 × 32 × 3071
Step-3: Factors of 22092
List of positive integer factors of 22092 that divides 22092 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 263, 526, 789, 1052, 1578, 1841, 3156, 3682, 5523, 7364, 11046
Step-4: Factors of 22104
List of positive integer factors of 22104 that divides 22092 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 307, 614, 921, 1228, 1842, 2456, 2763, 3684, 5526, 7368, 11052
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 22092 and 22104. The biggest common factor number is the GCF number.
So the greatest common factor 22092 and 22104 is 12.
Also check out the Least Common Multiple of 22092 and 22104
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