What is the Greatest Common Factor of 66724 and 66742?
Greatest common factor (GCF) of 66724 and 66742 is 2.
GCF(66724,66742) = 2
We will now calculate the prime factors of 66724 and 66742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66724 and 66742.
How to find the GCF of 66724 and 66742?
We will first find the prime factorization of 66724 and 66742. After we will calculate the factors of 66724 and 66742 and find the biggest common factor number .
Step-1: Prime Factorization of 66724
Prime factors of 66724 are 2, 7, 2383. Prime factorization of 66724 in exponential form is:
66724 = 22 × 71 × 23831
Step-2: Prime Factorization of 66742
Prime factors of 66742 are 2, 13, 17, 151. Prime factorization of 66742 in exponential form is:
66742 = 21 × 131 × 171 × 1511
Step-3: Factors of 66724
List of positive integer factors of 66724 that divides 66724 without a remainder.
1, 2, 4, 7, 14, 28, 2383, 4766, 9532, 16681, 33362
Step-4: Factors of 66742
List of positive integer factors of 66742 that divides 66724 without a remainder.
1, 2, 13, 17, 26, 34, 151, 221, 302, 442, 1963, 2567, 3926, 5134, 33371
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66724 and 66742. The biggest common factor number is the GCF number.
So the greatest common factor 66724 and 66742 is 2.
Also check out the Least Common Multiple of 66724 and 66742
Related Greatest Common Factors of 66724
- GCF of 66724 and 66728
- GCF of 66724 and 66729
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- GCF of 66724 and 66731
- GCF of 66724 and 66732
- GCF of 66724 and 66733
- GCF of 66724 and 66734
- GCF of 66724 and 66735
- GCF of 66724 and 66736
- GCF of 66724 and 66737
- GCF of 66724 and 66738
- GCF of 66724 and 66739
- GCF of 66724 and 66740
- GCF of 66724 and 66741
- GCF of 66724 and 66742
- GCF of 66724 and 66743
- GCF of 66724 and 66744
Related Greatest Common Factors of 66742
- GCF of 66742 and 66746
- GCF of 66742 and 66747
- GCF of 66742 and 66748
- GCF of 66742 and 66749
- GCF of 66742 and 66750
- GCF of 66742 and 66751
- GCF of 66742 and 66752
- GCF of 66742 and 66753
- GCF of 66742 and 66754
- GCF of 66742 and 66755
- GCF of 66742 and 66756
- GCF of 66742 and 66757
- GCF of 66742 and 66758
- GCF of 66742 and 66759
- GCF of 66742 and 66760
- GCF of 66742 and 66761
- GCF of 66742 and 66762