What is the Greatest Common Factor of 28972 and 28990?
Greatest common factor (GCF) of 28972 and 28990 is 2.
GCF(28972,28990) = 2
We will now calculate the prime factors of 28972 and 28990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28972 and 28990.
How to find the GCF of 28972 and 28990?
We will first find the prime factorization of 28972 and 28990. After we will calculate the factors of 28972 and 28990 and find the biggest common factor number .
Step-1: Prime Factorization of 28972
Prime factors of 28972 are 2, 7243. Prime factorization of 28972 in exponential form is:
28972 = 22 × 72431
Step-2: Prime Factorization of 28990
Prime factors of 28990 are 2, 5, 13, 223. Prime factorization of 28990 in exponential form is:
28990 = 21 × 51 × 131 × 2231
Step-3: Factors of 28972
List of positive integer factors of 28972 that divides 28972 without a remainder.
1, 2, 4, 7243, 14486
Step-4: Factors of 28990
List of positive integer factors of 28990 that divides 28972 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130, 223, 446, 1115, 2230, 2899, 5798, 14495
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28972 and 28990. The biggest common factor number is the GCF number.
So the greatest common factor 28972 and 28990 is 2.
Also check out the Least Common Multiple of 28972 and 28990
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