What is the Greatest Common Factor of 58968 and 58974?
Greatest common factor (GCF) of 58968 and 58974 is 6.
GCF(58968,58974) = 6
We will now calculate the prime factors of 58968 and 58974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58968 and 58974.
How to find the GCF of 58968 and 58974?
We will first find the prime factorization of 58968 and 58974. After we will calculate the factors of 58968 and 58974 and find the biggest common factor number .
Step-1: Prime Factorization of 58968
Prime factors of 58968 are 2, 3, 7, 13. Prime factorization of 58968 in exponential form is:
58968 = 23 × 34 × 71 × 131
Step-2: Prime Factorization of 58974
Prime factors of 58974 are 2, 3, 9829. Prime factorization of 58974 in exponential form is:
58974 = 21 × 31 × 98291
Step-3: Factors of 58968
List of positive integer factors of 58968 that divides 58968 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 27, 28, 36, 39, 42, 52, 54, 56, 63, 72, 78, 81, 84, 91, 104, 108, 117, 126, 156, 162, 168, 182, 189, 216, 234, 252, 273, 312, 324, 351, 364, 378, 468, 504, 546, 567, 648, 702, 728, 756, 819, 936, 1053, 1092, 1134, 1404, 1512, 1638, 2106, 2184, 2268, 2457, 2808, 3276, 4212, 4536, 4914, 6552, 7371, 8424, 9828, 14742, 19656, 29484
Step-4: Factors of 58974
List of positive integer factors of 58974 that divides 58968 without a remainder.
1, 2, 3, 6, 9829, 19658, 29487
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58968 and 58974. The biggest common factor number is the GCF number.
So the greatest common factor 58968 and 58974 is 6.
Also check out the Least Common Multiple of 58968 and 58974
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