What is the Greatest Common Factor of 98280 and 98294?
Greatest common factor (GCF) of 98280 and 98294 is 14.
GCF(98280,98294) = 14
We will now calculate the prime factors of 98280 and 98294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98280 and 98294.
How to find the GCF of 98280 and 98294?
We will first find the prime factorization of 98280 and 98294. After we will calculate the factors of 98280 and 98294 and find the biggest common factor number .
Step-1: Prime Factorization of 98280
Prime factors of 98280 are 2, 3, 5, 7, 13. Prime factorization of 98280 in exponential form is:
98280 = 23 × 33 × 51 × 71 × 131
Step-2: Prime Factorization of 98294
Prime factors of 98294 are 2, 7, 17, 59. Prime factorization of 98294 in exponential form is:
98294 = 21 × 72 × 171 × 591
Step-3: Factors of 98280
List of positive integer factors of 98280 that divides 98280 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 18, 20, 21, 24, 26, 27, 28, 30, 35, 36, 39, 40, 42, 45, 52, 54, 56, 60, 63, 65, 70, 72, 78, 84, 90, 91, 104, 105, 108, 117, 120, 126, 130, 135, 140, 156, 168, 180, 182, 189, 195, 210, 216, 234, 252, 260, 270, 273, 280, 312, 315, 351, 360, 364, 378, 390, 420, 455, 468, 504, 520, 540, 546, 585, 630, 702, 728, 756, 780, 819, 840, 910, 936, 945, 1080, 1092, 1170, 1260, 1365, 1404, 1512, 1560, 1638, 1755, 1820, 1890, 2184, 2340, 2457, 2520, 2730, 2808, 3276, 3510, 3640, 3780, 4095, 4680, 4914, 5460, 6552, 7020, 7560, 8190, 9828, 10920, 12285, 14040, 16380, 19656, 24570, 32760, 49140
Step-4: Factors of 98294
List of positive integer factors of 98294 that divides 98280 without a remainder.
1, 2, 7, 14, 17, 34, 49, 59, 98, 118, 119, 238, 413, 826, 833, 1003, 1666, 2006, 2891, 5782, 7021, 14042, 49147
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 98280 and 98294. The biggest common factor number is the GCF number.
So the greatest common factor 98280 and 98294 is 14.
Also check out the Least Common Multiple of 98280 and 98294
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- GCF of 98294 and 98298
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