What is the Greatest Common Factor of 13096 and 13100?
Greatest common factor (GCF) of 13096 and 13100 is 4.
GCF(13096,13100) = 4
We will now calculate the prime factors of 13096 and 13100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13096 and 13100.
How to find the GCF of 13096 and 13100?
We will first find the prime factorization of 13096 and 13100. After we will calculate the factors of 13096 and 13100 and find the biggest common factor number .
Step-1: Prime Factorization of 13096
Prime factors of 13096 are 2, 1637. Prime factorization of 13096 in exponential form is:
13096 = 23 × 16371
Step-2: Prime Factorization of 13100
Prime factors of 13100 are 2, 5, 131. Prime factorization of 13100 in exponential form is:
13100 = 22 × 52 × 1311
Step-3: Factors of 13096
List of positive integer factors of 13096 that divides 13096 without a remainder.
1, 2, 4, 8, 1637, 3274, 6548
Step-4: Factors of 13100
List of positive integer factors of 13100 that divides 13096 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 131, 262, 524, 655, 1310, 2620, 3275, 6550
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13096 and 13100. The biggest common factor number is the GCF number.
So the greatest common factor 13096 and 13100 is 4.
Also check out the Least Common Multiple of 13096 and 13100
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