What is the Greatest Common Factor of 5380 and 5392?
Greatest common factor (GCF) of 5380 and 5392 is 4.
GCF(5380,5392) = 4
We will now calculate the prime factors of 5380 and 5392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5380 and 5392.
How to find the GCF of 5380 and 5392?
We will first find the prime factorization of 5380 and 5392. After we will calculate the factors of 5380 and 5392 and find the biggest common factor number .
Step-1: Prime Factorization of 5380
Prime factors of 5380 are 2, 5, 269. Prime factorization of 5380 in exponential form is:
5380 = 22 × 51 × 2691
Step-2: Prime Factorization of 5392
Prime factors of 5392 are 2, 337. Prime factorization of 5392 in exponential form is:
5392 = 24 × 3371
Step-3: Factors of 5380
List of positive integer factors of 5380 that divides 5380 without a remainder.
1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690
Step-4: Factors of 5392
List of positive integer factors of 5392 that divides 5380 without a remainder.
1, 2, 4, 8, 16, 337, 674, 1348, 2696
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5380 and 5392. The biggest common factor number is the GCF number.
So the greatest common factor 5380 and 5392 is 4.
Also check out the Least Common Multiple of 5380 and 5392
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