What is the Greatest Common Factor of 55052 and 55070?
Greatest common factor (GCF) of 55052 and 55070 is 2.
GCF(55052,55070) = 2
We will now calculate the prime factors of 55052 and 55070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55052 and 55070.
How to find the GCF of 55052 and 55070?
We will first find the prime factorization of 55052 and 55070. After we will calculate the factors of 55052 and 55070 and find the biggest common factor number .
Step-1: Prime Factorization of 55052
Prime factors of 55052 are 2, 13763. Prime factorization of 55052 in exponential form is:
55052 = 22 × 137631
Step-2: Prime Factorization of 55070
Prime factors of 55070 are 2, 5, 5507. Prime factorization of 55070 in exponential form is:
55070 = 21 × 51 × 55071
Step-3: Factors of 55052
List of positive integer factors of 55052 that divides 55052 without a remainder.
1, 2, 4, 13763, 27526
Step-4: Factors of 55070
List of positive integer factors of 55070 that divides 55052 without a remainder.
1, 2, 5, 10, 5507, 11014, 27535
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55052 and 55070. The biggest common factor number is the GCF number.
So the greatest common factor 55052 and 55070 is 2.
Also check out the Least Common Multiple of 55052 and 55070
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