What is the Greatest Common Factor of 92820 and 92830?
Greatest common factor (GCF) of 92820 and 92830 is 10.
GCF(92820,92830) = 10
We will now calculate the prime factors of 92820 and 92830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92820 and 92830.
How to find the GCF of 92820 and 92830?
We will first find the prime factorization of 92820 and 92830. After we will calculate the factors of 92820 and 92830 and find the biggest common factor number .
Step-1: Prime Factorization of 92820
Prime factors of 92820 are 2, 3, 5, 7, 13, 17. Prime factorization of 92820 in exponential form is:
92820 = 22 × 31 × 51 × 71 × 131 × 171
Step-2: Prime Factorization of 92830
Prime factors of 92830 are 2, 5, 9283. Prime factorization of 92830 in exponential form is:
92830 = 21 × 51 × 92831
Step-3: Factors of 92820
List of positive integer factors of 92820 that divides 92820 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 17, 20, 21, 26, 28, 30, 34, 35, 39, 42, 51, 52, 60, 65, 68, 70, 78, 84, 85, 91, 102, 105, 119, 130, 140, 156, 170, 182, 195, 204, 210, 221, 238, 255, 260, 273, 340, 357, 364, 390, 420, 442, 455, 476, 510, 546, 595, 663, 714, 780, 884, 910, 1020, 1092, 1105, 1190, 1326, 1365, 1428, 1547, 1785, 1820, 2210, 2380, 2652, 2730, 3094, 3315, 3570, 4420, 4641, 5460, 6188, 6630, 7140, 7735, 9282, 13260, 15470, 18564, 23205, 30940, 46410
Step-4: Factors of 92830
List of positive integer factors of 92830 that divides 92820 without a remainder.
1, 2, 5, 10, 9283, 18566, 46415
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 92820 and 92830. The biggest common factor number is the GCF number.
So the greatest common factor 92820 and 92830 is 10.
Also check out the Least Common Multiple of 92820 and 92830
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