What is the Greatest Common Factor of 58872 and 58883?
Greatest common factor (GCF) of 58872 and 58883 is 11.
GCF(58872,58883) = 11
We will now calculate the prime factors of 58872 and 58883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58872 and 58883.
How to find the GCF of 58872 and 58883?
We will first find the prime factorization of 58872 and 58883. After we will calculate the factors of 58872 and 58883 and find the biggest common factor number .
Step-1: Prime Factorization of 58872
Prime factors of 58872 are 2, 3, 11, 223. Prime factorization of 58872 in exponential form is:
58872 = 23 × 31 × 111 × 2231
Step-2: Prime Factorization of 58883
Prime factors of 58883 are 11, 53, 101. Prime factorization of 58883 in exponential form is:
58883 = 111 × 531 × 1011
Step-3: Factors of 58872
List of positive integer factors of 58872 that divides 58872 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 223, 264, 446, 669, 892, 1338, 1784, 2453, 2676, 4906, 5352, 7359, 9812, 14718, 19624, 29436
Step-4: Factors of 58883
List of positive integer factors of 58883 that divides 58872 without a remainder.
1, 11, 53, 101, 583, 1111, 5353
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58872 and 58883. The biggest common factor number is the GCF number.
So the greatest common factor 58872 and 58883 is 11.
Also check out the Least Common Multiple of 58872 and 58883
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