What is the Greatest Common Factor of 84728 and 84748?
Greatest common factor (GCF) of 84728 and 84748 is 4.
GCF(84728,84748) = 4
We will now calculate the prime factors of 84728 and 84748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84728 and 84748.
How to find the GCF of 84728 and 84748?
We will first find the prime factorization of 84728 and 84748. After we will calculate the factors of 84728 and 84748 and find the biggest common factor number .
Step-1: Prime Factorization of 84728
Prime factors of 84728 are 2, 7, 17, 89. Prime factorization of 84728 in exponential form is:
84728 = 23 × 71 × 171 × 891
Step-2: Prime Factorization of 84748
Prime factors of 84748 are 2, 21187. Prime factorization of 84748 in exponential form is:
84748 = 22 × 211871
Step-3: Factors of 84728
List of positive integer factors of 84728 that divides 84728 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 89, 119, 136, 178, 238, 356, 476, 623, 712, 952, 1246, 1513, 2492, 3026, 4984, 6052, 10591, 12104, 21182, 42364
Step-4: Factors of 84748
List of positive integer factors of 84748 that divides 84728 without a remainder.
1, 2, 4, 21187, 42374
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 84728 and 84748. The biggest common factor number is the GCF number.
So the greatest common factor 84728 and 84748 is 4.
Also check out the Least Common Multiple of 84728 and 84748
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