What is the Greatest Common Factor of 49920 and 49928?
Greatest common factor (GCF) of 49920 and 49928 is 8.
GCF(49920,49928) = 8
We will now calculate the prime factors of 49920 and 49928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49920 and 49928.
How to find the GCF of 49920 and 49928?
We will first find the prime factorization of 49920 and 49928. After we will calculate the factors of 49920 and 49928 and find the biggest common factor number .
Step-1: Prime Factorization of 49920
Prime factors of 49920 are 2, 3, 5, 13. Prime factorization of 49920 in exponential form is:
49920 = 28 × 31 × 51 × 131
Step-2: Prime Factorization of 49928
Prime factors of 49928 are 2, 79. Prime factorization of 49928 in exponential form is:
49928 = 23 × 792
Step-3: Factors of 49920
List of positive integer factors of 49920 that divides 49920 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 64, 65, 78, 80, 96, 104, 120, 128, 130, 156, 160, 192, 195, 208, 240, 256, 260, 312, 320, 384, 390, 416, 480, 520, 624, 640, 768, 780, 832, 960, 1040, 1248, 1280, 1560, 1664, 1920, 2080, 2496, 3120, 3328, 3840, 4160, 4992, 6240, 8320, 9984, 12480, 16640, 24960
Step-4: Factors of 49928
List of positive integer factors of 49928 that divides 49920 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632, 6241, 12482, 24964
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49920 and 49928. The biggest common factor number is the GCF number.
So the greatest common factor 49920 and 49928 is 8.
Also check out the Least Common Multiple of 49920 and 49928
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Related Greatest Common Factors of 49928
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