What is the Greatest Common Factor of 22245 and 22260?
Greatest common factor (GCF) of 22245 and 22260 is 15.
GCF(22245,22260) = 15
We will now calculate the prime factors of 22245 and 22260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22245 and 22260.
How to find the GCF of 22245 and 22260?
We will first find the prime factorization of 22245 and 22260. After we will calculate the factors of 22245 and 22260 and find the biggest common factor number .
Step-1: Prime Factorization of 22245
Prime factors of 22245 are 3, 5, 1483. Prime factorization of 22245 in exponential form is:
22245 = 31 × 51 × 14831
Step-2: Prime Factorization of 22260
Prime factors of 22260 are 2, 3, 5, 7, 53. Prime factorization of 22260 in exponential form is:
22260 = 22 × 31 × 51 × 71 × 531
Step-3: Factors of 22245
List of positive integer factors of 22245 that divides 22245 without a remainder.
1, 3, 5, 15, 1483, 4449, 7415
Step-4: Factors of 22260
List of positive integer factors of 22260 that divides 22245 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 53, 60, 70, 84, 105, 106, 140, 159, 210, 212, 265, 318, 371, 420, 530, 636, 742, 795, 1060, 1113, 1484, 1590, 1855, 2226, 3180, 3710, 4452, 5565, 7420, 11130
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 22245 and 22260. The biggest common factor number is the GCF number.
So the greatest common factor 22245 and 22260 is 15.
Also check out the Least Common Multiple of 22245 and 22260
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