What is the Greatest Common Factor of 55488 and 55492?
Greatest common factor (GCF) of 55488 and 55492 is 4.
GCF(55488,55492) = 4
We will now calculate the prime factors of 55488 and 55492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55488 and 55492.
How to find the GCF of 55488 and 55492?
We will first find the prime factorization of 55488 and 55492. After we will calculate the factors of 55488 and 55492 and find the biggest common factor number .
Step-1: Prime Factorization of 55488
Prime factors of 55488 are 2, 3, 17. Prime factorization of 55488 in exponential form is:
55488 = 26 × 31 × 172
Step-2: Prime Factorization of 55492
Prime factors of 55492 are 2, 13873. Prime factorization of 55492 in exponential form is:
55492 = 22 × 138731
Step-3: Factors of 55488
List of positive integer factors of 55488 that divides 55488 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 289, 408, 544, 578, 816, 867, 1088, 1156, 1632, 1734, 2312, 3264, 3468, 4624, 6936, 9248, 13872, 18496, 27744
Step-4: Factors of 55492
List of positive integer factors of 55492 that divides 55488 without a remainder.
1, 2, 4, 13873, 27746
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55488 and 55492. The biggest common factor number is the GCF number.
So the greatest common factor 55488 and 55492 is 4.
Also check out the Least Common Multiple of 55488 and 55492
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Related Greatest Common Factors of 55492
- GCF of 55492 and 55496
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