What is the Greatest Common Factor of 55224 and 55228?
Greatest common factor (GCF) of 55224 and 55228 is 4.
GCF(55224,55228) = 4
We will now calculate the prime factors of 55224 and 55228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55224 and 55228.
How to find the GCF of 55224 and 55228?
We will first find the prime factorization of 55224 and 55228. After we will calculate the factors of 55224 and 55228 and find the biggest common factor number .
Step-1: Prime Factorization of 55224
Prime factors of 55224 are 2, 3, 13, 59. Prime factorization of 55224 in exponential form is:
55224 = 23 × 32 × 131 × 591
Step-2: Prime Factorization of 55228
Prime factors of 55228 are 2, 13807. Prime factorization of 55228 in exponential form is:
55228 = 22 × 138071
Step-3: Factors of 55224
List of positive integer factors of 55224 that divides 55224 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 59, 72, 78, 104, 117, 118, 156, 177, 234, 236, 312, 354, 468, 472, 531, 708, 767, 936, 1062, 1416, 1534, 2124, 2301, 3068, 4248, 4602, 6136, 6903, 9204, 13806, 18408, 27612
Step-4: Factors of 55228
List of positive integer factors of 55228 that divides 55224 without a remainder.
1, 2, 4, 13807, 27614
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55224 and 55228. The biggest common factor number is the GCF number.
So the greatest common factor 55224 and 55228 is 4.
Also check out the Least Common Multiple of 55224 and 55228
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Related Greatest Common Factors of 55228
- GCF of 55228 and 55232
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- GCF of 55228 and 55235
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- GCF of 55228 and 55241
- GCF of 55228 and 55242
- GCF of 55228 and 55243
- GCF of 55228 and 55244
- GCF of 55228 and 55245
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