What is the Greatest Common Factor of 4602 and 4608?
Greatest common factor (GCF) of 4602 and 4608 is 6.
GCF(4602,4608) = 6
We will now calculate the prime factors of 4602 and 4608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4602 and 4608.
How to find the GCF of 4602 and 4608?
We will first find the prime factorization of 4602 and 4608. After we will calculate the factors of 4602 and 4608 and find the biggest common factor number .
Step-1: Prime Factorization of 4602
Prime factors of 4602 are 2, 3, 13, 59. Prime factorization of 4602 in exponential form is:
4602 = 21 × 31 × 131 × 591
Step-2: Prime Factorization of 4608
Prime factors of 4608 are 2, 3. Prime factorization of 4608 in exponential form is:
4608 = 29 × 32
Step-3: Factors of 4602
List of positive integer factors of 4602 that divides 4602 without a remainder.
1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301
Step-4: Factors of 4608
List of positive integer factors of 4608 that divides 4602 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1152, 1536, 2304
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4602 and 4608. The biggest common factor number is the GCF number.
So the greatest common factor 4602 and 4608 is 6.
Also check out the Least Common Multiple of 4602 and 4608
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