What is the Greatest Common Factor of 612 and 621?
Greatest common factor (GCF) of 612 and 621 is 9.
GCF(612,621) = 9
We will now calculate the prime factors of 612 and 621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 612 and 621.
How to find the GCF of 612 and 621?
We will first find the prime factorization of 612 and 621. After we will calculate the factors of 612 and 621 and find the biggest common factor number .
Step-1: Prime Factorization of 612
Prime factors of 612 are 2, 3, 17. Prime factorization of 612 in exponential form is:
612 = 22 × 32 × 171
Step-2: Prime Factorization of 621
Prime factors of 621 are 3, 23. Prime factorization of 621 in exponential form is:
621 = 33 × 231
Step-3: Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306
Step-4: Factors of 621
List of positive integer factors of 621 that divides 612 without a remainder.
1, 3, 9, 23, 27, 69, 207
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 612 and 621. The biggest common factor number is the GCF number.
So the greatest common factor 612 and 621 is 9.
Also check out the Least Common Multiple of 612 and 621
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