What is the Greatest Common Factor of 94240 and 94248?
Greatest common factor (GCF) of 94240 and 94248 is 8.
GCF(94240,94248) = 8
We will now calculate the prime factors of 94240 and 94248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94240 and 94248.
How to find the GCF of 94240 and 94248?
We will first find the prime factorization of 94240 and 94248. After we will calculate the factors of 94240 and 94248 and find the biggest common factor number .
Step-1: Prime Factorization of 94240
Prime factors of 94240 are 2, 5, 19, 31. Prime factorization of 94240 in exponential form is:
94240 = 25 × 51 × 191 × 311
Step-2: Prime Factorization of 94248
Prime factors of 94248 are 2, 3, 7, 11, 17. Prime factorization of 94248 in exponential form is:
94248 = 23 × 32 × 71 × 111 × 171
Step-3: Factors of 94240
List of positive integer factors of 94240 that divides 94240 without a remainder.
1, 2, 4, 5, 8, 10, 16, 19, 20, 31, 32, 38, 40, 62, 76, 80, 95, 124, 152, 155, 160, 190, 248, 304, 310, 380, 496, 589, 608, 620, 760, 992, 1178, 1240, 1520, 2356, 2480, 2945, 3040, 4712, 4960, 5890, 9424, 11780, 18848, 23560, 47120
Step-4: Factors of 94248
List of positive integer factors of 94248 that divides 94240 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 17, 18, 21, 22, 24, 28, 33, 34, 36, 42, 44, 51, 56, 63, 66, 68, 72, 77, 84, 88, 99, 102, 119, 126, 132, 136, 153, 154, 168, 187, 198, 204, 231, 238, 252, 264, 306, 308, 357, 374, 396, 408, 462, 476, 504, 561, 612, 616, 693, 714, 748, 792, 924, 952, 1071, 1122, 1224, 1309, 1386, 1428, 1496, 1683, 1848, 2142, 2244, 2618, 2772, 2856, 3366, 3927, 4284, 4488, 5236, 5544, 6732, 7854, 8568, 10472, 11781, 13464, 15708, 23562, 31416, 47124
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 94240 and 94248. The biggest common factor number is the GCF number.
So the greatest common factor 94240 and 94248 is 8.
Also check out the Least Common Multiple of 94240 and 94248
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Related Greatest Common Factors of 94248
- GCF of 94248 and 94252
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- GCF of 94248 and 94254
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- GCF of 94248 and 94258
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