What is the Greatest Common Factor of 55026 and 55042?
Greatest common factor (GCF) of 55026 and 55042 is 2.
GCF(55026,55042) = 2
We will now calculate the prime factors of 55026 and 55042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55026 and 55042.
How to find the GCF of 55026 and 55042?
We will first find the prime factorization of 55026 and 55042. After we will calculate the factors of 55026 and 55042 and find the biggest common factor number .
Step-1: Prime Factorization of 55026
Prime factors of 55026 are 2, 3, 1019. Prime factorization of 55026 in exponential form is:
55026 = 21 × 33 × 10191
Step-2: Prime Factorization of 55042
Prime factors of 55042 are 2, 13, 29, 73. Prime factorization of 55042 in exponential form is:
55042 = 21 × 131 × 291 × 731
Step-3: Factors of 55026
List of positive integer factors of 55026 that divides 55026 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 1019, 2038, 3057, 6114, 9171, 18342, 27513
Step-4: Factors of 55042
List of positive integer factors of 55042 that divides 55026 without a remainder.
1, 2, 13, 26, 29, 58, 73, 146, 377, 754, 949, 1898, 2117, 4234, 27521
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55026 and 55042. The biggest common factor number is the GCF number.
So the greatest common factor 55026 and 55042 is 2.
Also check out the Least Common Multiple of 55026 and 55042
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