What is the Greatest Common Factor of 49764 and 49782?
Greatest common factor (GCF) of 49764 and 49782 is 6.
GCF(49764,49782) = 6
We will now calculate the prime factors of 49764 and 49782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49764 and 49782.
How to find the GCF of 49764 and 49782?
We will first find the prime factorization of 49764 and 49782. After we will calculate the factors of 49764 and 49782 and find the biggest common factor number .
Step-1: Prime Factorization of 49764
Prime factors of 49764 are 2, 3, 11, 13, 29. Prime factorization of 49764 in exponential form is:
49764 = 22 × 31 × 111 × 131 × 291
Step-2: Prime Factorization of 49782
Prime factors of 49782 are 2, 3, 8297. Prime factorization of 49782 in exponential form is:
49782 = 21 × 31 × 82971
Step-3: Factors of 49764
List of positive integer factors of 49764 that divides 49764 without a remainder.
1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 29, 33, 39, 44, 52, 58, 66, 78, 87, 116, 132, 143, 156, 174, 286, 319, 348, 377, 429, 572, 638, 754, 858, 957, 1131, 1276, 1508, 1716, 1914, 2262, 3828, 4147, 4524, 8294, 12441, 16588, 24882
Step-4: Factors of 49782
List of positive integer factors of 49782 that divides 49764 without a remainder.
1, 2, 3, 6, 8297, 16594, 24891
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49764 and 49782. The biggest common factor number is the GCF number.
So the greatest common factor 49764 and 49782 is 6.
Also check out the Least Common Multiple of 49764 and 49782
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Related Greatest Common Factors of 49782
- GCF of 49782 and 49786
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