What is the Greatest Common Factor of 30598 and 30604?
Greatest common factor (GCF) of 30598 and 30604 is 2.
GCF(30598,30604) = 2
We will now calculate the prime factors of 30598 and 30604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30598 and 30604.
How to find the GCF of 30598 and 30604?
We will first find the prime factorization of 30598 and 30604. After we will calculate the factors of 30598 and 30604 and find the biggest common factor number .
Step-1: Prime Factorization of 30598
Prime factors of 30598 are 2, 15299. Prime factorization of 30598 in exponential form is:
30598 = 21 × 152991
Step-2: Prime Factorization of 30604
Prime factors of 30604 are 2, 7, 1093. Prime factorization of 30604 in exponential form is:
30604 = 22 × 71 × 10931
Step-3: Factors of 30598
List of positive integer factors of 30598 that divides 30598 without a remainder.
1, 2, 15299
Step-4: Factors of 30604
List of positive integer factors of 30604 that divides 30598 without a remainder.
1, 2, 4, 7, 14, 28, 1093, 2186, 4372, 7651, 15302
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30598 and 30604. The biggest common factor number is the GCF number.
So the greatest common factor 30598 and 30604 is 2.
Also check out the Least Common Multiple of 30598 and 30604
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