What is the Greatest Common Factor of 58882 and 58888?
Greatest common factor (GCF) of 58882 and 58888 is 2.
GCF(58882,58888) = 2
We will now calculate the prime factors of 58882 and 58888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58882 and 58888.
How to find the GCF of 58882 and 58888?
We will first find the prime factorization of 58882 and 58888. After we will calculate the factors of 58882 and 58888 and find the biggest common factor number .
Step-1: Prime Factorization of 58882
Prime factors of 58882 are 2, 59, 499. Prime factorization of 58882 in exponential form is:
58882 = 21 × 591 × 4991
Step-2: Prime Factorization of 58888
Prime factors of 58888 are 2, 17, 433. Prime factorization of 58888 in exponential form is:
58888 = 23 × 171 × 4331
Step-3: Factors of 58882
List of positive integer factors of 58882 that divides 58882 without a remainder.
1, 2, 59, 118, 499, 998, 29441
Step-4: Factors of 58888
List of positive integer factors of 58888 that divides 58882 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136, 433, 866, 1732, 3464, 7361, 14722, 29444
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58882 and 58888. The biggest common factor number is the GCF number.
So the greatest common factor 58882 and 58888 is 2.
Also check out the Least Common Multiple of 58882 and 58888
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