What is the Greatest Common Factor of 9650 and 9660?
Greatest common factor (GCF) of 9650 and 9660 is 10.
GCF(9650,9660) = 10
We will now calculate the prime factors of 9650 and 9660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9650 and 9660.
How to find the GCF of 9650 and 9660?
We will first find the prime factorization of 9650 and 9660. After we will calculate the factors of 9650 and 9660 and find the biggest common factor number .
Step-1: Prime Factorization of 9650
Prime factors of 9650 are 2, 5, 193. Prime factorization of 9650 in exponential form is:
9650 = 21 × 52 × 1931
Step-2: Prime Factorization of 9660
Prime factors of 9660 are 2, 3, 5, 7, 23. Prime factorization of 9660 in exponential form is:
9660 = 22 × 31 × 51 × 71 × 231
Step-3: Factors of 9650
List of positive integer factors of 9650 that divides 9650 without a remainder.
1, 2, 5, 10, 25, 50, 193, 386, 965, 1930, 4825
Step-4: Factors of 9660
List of positive integer factors of 9660 that divides 9650 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9650 and 9660. The biggest common factor number is the GCF number.
So the greatest common factor 9650 and 9660 is 10.
Also check out the Least Common Multiple of 9650 and 9660
Related Greatest Common Factors of 9650
- GCF of 9650 and 9654
- GCF of 9650 and 9655
- GCF of 9650 and 9656
- GCF of 9650 and 9657
- GCF of 9650 and 9658
- GCF of 9650 and 9659
- GCF of 9650 and 9660
- GCF of 9650 and 9661
- GCF of 9650 and 9662
- GCF of 9650 and 9663
- GCF of 9650 and 9664
- GCF of 9650 and 9665
- GCF of 9650 and 9666
- GCF of 9650 and 9667
- GCF of 9650 and 9668
- GCF of 9650 and 9669
- GCF of 9650 and 9670
Related Greatest Common Factors of 9660
- GCF of 9660 and 9664
- GCF of 9660 and 9665
- GCF of 9660 and 9666
- GCF of 9660 and 9667
- GCF of 9660 and 9668
- GCF of 9660 and 9669
- GCF of 9660 and 9670
- GCF of 9660 and 9671
- GCF of 9660 and 9672
- GCF of 9660 and 9673
- GCF of 9660 and 9674
- GCF of 9660 and 9675
- GCF of 9660 and 9676
- GCF of 9660 and 9677
- GCF of 9660 and 9678
- GCF of 9660 and 9679
- GCF of 9660 and 9680