What is the Greatest Common Factor of 49434 and 49448?
Greatest common factor (GCF) of 49434 and 49448 is 14.
GCF(49434,49448) = 14
We will now calculate the prime factors of 49434 and 49448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49434 and 49448.
How to find the GCF of 49434 and 49448?
We will first find the prime factorization of 49434 and 49448. After we will calculate the factors of 49434 and 49448 and find the biggest common factor number .
Step-1: Prime Factorization of 49434
Prime factors of 49434 are 2, 3, 7, 11, 107. Prime factorization of 49434 in exponential form is:
49434 = 21 × 31 × 71 × 111 × 1071
Step-2: Prime Factorization of 49448
Prime factors of 49448 are 2, 7, 883. Prime factorization of 49448 in exponential form is:
49448 = 23 × 71 × 8831
Step-3: Factors of 49434
List of positive integer factors of 49434 that divides 49434 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 107, 154, 214, 231, 321, 462, 642, 749, 1177, 1498, 2247, 2354, 3531, 4494, 7062, 8239, 16478, 24717
Step-4: Factors of 49448
List of positive integer factors of 49448 that divides 49434 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 883, 1766, 3532, 6181, 7064, 12362, 24724
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49434 and 49448. The biggest common factor number is the GCF number.
So the greatest common factor 49434 and 49448 is 14.
Also check out the Least Common Multiple of 49434 and 49448
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- GCF of 49448 and 49452
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