What is the Greatest Common Factor of 10598 and 10612?
Greatest common factor (GCF) of 10598 and 10612 is 14.
GCF(10598,10612) = 14
We will now calculate the prime factors of 10598 and 10612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10598 and 10612.
How to find the GCF of 10598 and 10612?
We will first find the prime factorization of 10598 and 10612. After we will calculate the factors of 10598 and 10612 and find the biggest common factor number .
Step-1: Prime Factorization of 10598
Prime factors of 10598 are 2, 7, 757. Prime factorization of 10598 in exponential form is:
10598 = 21 × 71 × 7571
Step-2: Prime Factorization of 10612
Prime factors of 10612 are 2, 7, 379. Prime factorization of 10612 in exponential form is:
10612 = 22 × 71 × 3791
Step-3: Factors of 10598
List of positive integer factors of 10598 that divides 10598 without a remainder.
1, 2, 7, 14, 757, 1514, 5299
Step-4: Factors of 10612
List of positive integer factors of 10612 that divides 10598 without a remainder.
1, 2, 4, 7, 14, 28, 379, 758, 1516, 2653, 5306
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10598 and 10612. The biggest common factor number is the GCF number.
So the greatest common factor 10598 and 10612 is 14.
Also check out the Least Common Multiple of 10598 and 10612
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