What is the Greatest Common Factor of 39872 and 39889?
Greatest common factor (GCF) of 39872 and 39889 is 1.
GCF(39872,39889) = 1
We will now calculate the prime factors of 39872 and 39889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39872 and 39889.
How to find the GCF of 39872 and 39889?
We will first find the prime factorization of 39872 and 39889. After we will calculate the factors of 39872 and 39889 and find the biggest common factor number .
Step-1: Prime Factorization of 39872
Prime factors of 39872 are 2, 7, 89. Prime factorization of 39872 in exponential form is:
39872 = 26 × 71 × 891
Step-2: Prime Factorization of 39889
Prime factors of 39889 are 113, 353. Prime factorization of 39889 in exponential form is:
39889 = 1131 × 3531
Step-3: Factors of 39872
List of positive integer factors of 39872 that divides 39872 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 89, 112, 178, 224, 356, 448, 623, 712, 1246, 1424, 2492, 2848, 4984, 5696, 9968, 19936
Step-4: Factors of 39889
List of positive integer factors of 39889 that divides 39872 without a remainder.
1, 113, 353
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 39872 and 39889. The biggest common factor number is the GCF number.
So the greatest common factor 39872 and 39889 is 1.
Also check out the Least Common Multiple of 39872 and 39889
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