What is the Greatest Common Factor of 37660 and 37668?
Greatest common factor (GCF) of 37660 and 37668 is 4.
GCF(37660,37668) = 4
We will now calculate the prime factors of 37660 and 37668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37660 and 37668.
How to find the GCF of 37660 and 37668?
We will first find the prime factorization of 37660 and 37668. After we will calculate the factors of 37660 and 37668 and find the biggest common factor number .
Step-1: Prime Factorization of 37660
Prime factors of 37660 are 2, 5, 7, 269. Prime factorization of 37660 in exponential form is:
37660 = 22 × 51 × 71 × 2691
Step-2: Prime Factorization of 37668
Prime factors of 37668 are 2, 3, 43, 73. Prime factorization of 37668 in exponential form is:
37668 = 22 × 31 × 431 × 731
Step-3: Factors of 37660
List of positive integer factors of 37660 that divides 37660 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 269, 538, 1076, 1345, 1883, 2690, 3766, 5380, 7532, 9415, 18830
Step-4: Factors of 37668
List of positive integer factors of 37668 that divides 37660 without a remainder.
1, 2, 3, 4, 6, 12, 43, 73, 86, 129, 146, 172, 219, 258, 292, 438, 516, 876, 3139, 6278, 9417, 12556, 18834
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 37660 and 37668. The biggest common factor number is the GCF number.
So the greatest common factor 37660 and 37668 is 4.
Also check out the Least Common Multiple of 37660 and 37668
Related Greatest Common Factors of 37660
- GCF of 37660 and 37664
- GCF of 37660 and 37665
- GCF of 37660 and 37666
- GCF of 37660 and 37667
- GCF of 37660 and 37668
- GCF of 37660 and 37669
- GCF of 37660 and 37670
- GCF of 37660 and 37671
- GCF of 37660 and 37672
- GCF of 37660 and 37673
- GCF of 37660 and 37674
- GCF of 37660 and 37675
- GCF of 37660 and 37676
- GCF of 37660 and 37677
- GCF of 37660 and 37678
- GCF of 37660 and 37679
- GCF of 37660 and 37680
Related Greatest Common Factors of 37668
- GCF of 37668 and 37672
- GCF of 37668 and 37673
- GCF of 37668 and 37674
- GCF of 37668 and 37675
- GCF of 37668 and 37676
- GCF of 37668 and 37677
- GCF of 37668 and 37678
- GCF of 37668 and 37679
- GCF of 37668 and 37680
- GCF of 37668 and 37681
- GCF of 37668 and 37682
- GCF of 37668 and 37683
- GCF of 37668 and 37684
- GCF of 37668 and 37685
- GCF of 37668 and 37686
- GCF of 37668 and 37687
- GCF of 37668 and 37688