What is the Greatest Common Factor of 49728 and 49738?
Greatest common factor (GCF) of 49728 and 49738 is 2.
GCF(49728,49738) = 2
We will now calculate the prime factors of 49728 and 49738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49728 and 49738.
How to find the GCF of 49728 and 49738?
We will first find the prime factorization of 49728 and 49738. After we will calculate the factors of 49728 and 49738 and find the biggest common factor number .
Step-1: Prime Factorization of 49728
Prime factors of 49728 are 2, 3, 7, 37. Prime factorization of 49728 in exponential form is:
49728 = 26 × 31 × 71 × 371
Step-2: Prime Factorization of 49738
Prime factors of 49738 are 2, 13, 1913. Prime factorization of 49738 in exponential form is:
49738 = 21 × 131 × 19131
Step-3: Factors of 49728
List of positive integer factors of 49728 that divides 49728 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 37, 42, 48, 56, 64, 74, 84, 96, 111, 112, 148, 168, 192, 222, 224, 259, 296, 336, 444, 448, 518, 592, 672, 777, 888, 1036, 1184, 1344, 1554, 1776, 2072, 2368, 3108, 3552, 4144, 6216, 7104, 8288, 12432, 16576, 24864
Step-4: Factors of 49738
List of positive integer factors of 49738 that divides 49728 without a remainder.
1, 2, 13, 26, 1913, 3826, 24869
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49728 and 49738. The biggest common factor number is the GCF number.
So the greatest common factor 49728 and 49738 is 2.
Also check out the Least Common Multiple of 49728 and 49738
Related Greatest Common Factors of 49728
- GCF of 49728 and 49732
- GCF of 49728 and 49733
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- GCF of 49728 and 49735
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- GCF of 49728 and 49737
- GCF of 49728 and 49738
- GCF of 49728 and 49739
- GCF of 49728 and 49740
- GCF of 49728 and 49741
- GCF of 49728 and 49742
- GCF of 49728 and 49743
- GCF of 49728 and 49744
- GCF of 49728 and 49745
- GCF of 49728 and 49746
- GCF of 49728 and 49747
- GCF of 49728 and 49748
Related Greatest Common Factors of 49738
- GCF of 49738 and 49742
- GCF of 49738 and 49743
- GCF of 49738 and 49744
- GCF of 49738 and 49745
- GCF of 49738 and 49746
- GCF of 49738 and 49747
- GCF of 49738 and 49748
- GCF of 49738 and 49749
- GCF of 49738 and 49750
- GCF of 49738 and 49751
- GCF of 49738 and 49752
- GCF of 49738 and 49753
- GCF of 49738 and 49754
- GCF of 49738 and 49755
- GCF of 49738 and 49756
- GCF of 49738 and 49757
- GCF of 49738 and 49758