What is the Greatest Common Factor of 53972 and 53990?
Greatest common factor (GCF) of 53972 and 53990 is 2.
GCF(53972,53990) = 2
We will now calculate the prime factors of 53972 and 53990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53972 and 53990.
How to find the GCF of 53972 and 53990?
We will first find the prime factorization of 53972 and 53990. After we will calculate the factors of 53972 and 53990 and find the biggest common factor number .
Step-1: Prime Factorization of 53972
Prime factors of 53972 are 2, 103, 131. Prime factorization of 53972 in exponential form is:
53972 = 22 × 1031 × 1311
Step-2: Prime Factorization of 53990
Prime factors of 53990 are 2, 5, 5399. Prime factorization of 53990 in exponential form is:
53990 = 21 × 51 × 53991
Step-3: Factors of 53972
List of positive integer factors of 53972 that divides 53972 without a remainder.
1, 2, 4, 103, 131, 206, 262, 412, 524, 13493, 26986
Step-4: Factors of 53990
List of positive integer factors of 53990 that divides 53972 without a remainder.
1, 2, 5, 10, 5399, 10798, 26995
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 53972 and 53990. The biggest common factor number is the GCF number.
So the greatest common factor 53972 and 53990 is 2.
Also check out the Least Common Multiple of 53972 and 53990
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