What is the Greatest Common Factor of 54852 and 54864?
Greatest common factor (GCF) of 54852 and 54864 is 12.
GCF(54852,54864) = 12
We will now calculate the prime factors of 54852 and 54864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54852 and 54864.
How to find the GCF of 54852 and 54864?
We will first find the prime factorization of 54852 and 54864. After we will calculate the factors of 54852 and 54864 and find the biggest common factor number .
Step-1: Prime Factorization of 54852
Prime factors of 54852 are 2, 3, 7, 653. Prime factorization of 54852 in exponential form is:
54852 = 22 × 31 × 71 × 6531
Step-2: Prime Factorization of 54864
Prime factors of 54864 are 2, 3, 127. Prime factorization of 54864 in exponential form is:
54864 = 24 × 33 × 1271
Step-3: Factors of 54852
List of positive integer factors of 54852 that divides 54852 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 653, 1306, 1959, 2612, 3918, 4571, 7836, 9142, 13713, 18284, 27426
Step-4: Factors of 54864
List of positive integer factors of 54864 that divides 54852 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 127, 144, 216, 254, 381, 432, 508, 762, 1016, 1143, 1524, 2032, 2286, 3048, 3429, 4572, 6096, 6858, 9144, 13716, 18288, 27432
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54852 and 54864. The biggest common factor number is the GCF number.
So the greatest common factor 54852 and 54864 is 12.
Also check out the Least Common Multiple of 54852 and 54864
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