What is the Greatest Common Factor of 28696 and 28700?
Greatest common factor (GCF) of 28696 and 28700 is 4.
GCF(28696,28700) = 4
We will now calculate the prime factors of 28696 and 28700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28696 and 28700.
How to find the GCF of 28696 and 28700?
We will first find the prime factorization of 28696 and 28700. After we will calculate the factors of 28696 and 28700 and find the biggest common factor number .
Step-1: Prime Factorization of 28696
Prime factors of 28696 are 2, 17, 211. Prime factorization of 28696 in exponential form is:
28696 = 23 × 171 × 2111
Step-2: Prime Factorization of 28700
Prime factors of 28700 are 2, 5, 7, 41. Prime factorization of 28700 in exponential form is:
28700 = 22 × 52 × 71 × 411
Step-3: Factors of 28696
List of positive integer factors of 28696 that divides 28696 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136, 211, 422, 844, 1688, 3587, 7174, 14348
Step-4: Factors of 28700
List of positive integer factors of 28700 that divides 28696 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 41, 50, 70, 82, 100, 140, 164, 175, 205, 287, 350, 410, 574, 700, 820, 1025, 1148, 1435, 2050, 2870, 4100, 5740, 7175, 14350
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28696 and 28700. The biggest common factor number is the GCF number.
So the greatest common factor 28696 and 28700 is 4.
Also check out the Least Common Multiple of 28696 and 28700
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