What is the Greatest Common Factor of 618 and 624?
Greatest common factor (GCF) of 618 and 624 is 6.
GCF(618,624) = 6
We will now calculate the prime factors of 618 and 624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 618 and 624.
How to find the GCF of 618 and 624?
We will first find the prime factorization of 618 and 624. After we will calculate the factors of 618 and 624 and find the biggest common factor number .
Step-1: Prime Factorization of 618
Prime factors of 618 are 2, 3, 103. Prime factorization of 618 in exponential form is:
618 = 21 × 31 × 1031
Step-2: Prime Factorization of 624
Prime factors of 624 are 2, 3, 13. Prime factorization of 624 in exponential form is:
624 = 24 × 31 × 131
Step-3: Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309
Step-4: Factors of 624
List of positive integer factors of 624 that divides 618 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 618 and 624. The biggest common factor number is the GCF number.
So the greatest common factor 618 and 624 is 6.
Also check out the Least Common Multiple of 618 and 624
Related Greatest Common Factors of 618
- GCF of 618 and 622
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- GCF of 618 and 624
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- GCF of 618 and 628
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- GCF of 618 and 630
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- GCF of 618 and 633
- GCF of 618 and 634
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Related Greatest Common Factors of 624
- GCF of 624 and 628
- GCF of 624 and 629
- GCF of 624 and 630
- GCF of 624 and 631
- GCF of 624 and 632
- GCF of 624 and 633
- GCF of 624 and 634
- GCF of 624 and 635
- GCF of 624 and 636
- GCF of 624 and 637
- GCF of 624 and 638
- GCF of 624 and 639
- GCF of 624 and 640
- GCF of 624 and 641
- GCF of 624 and 642
- GCF of 624 and 643
- GCF of 624 and 644