What is the Greatest Common Factor of 9782 and 9802?
Greatest common factor (GCF) of 9782 and 9802 is 2.
GCF(9782,9802) = 2
We will now calculate the prime factors of 9782 and 9802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9782 and 9802.
How to find the GCF of 9782 and 9802?
We will first find the prime factorization of 9782 and 9802. After we will calculate the factors of 9782 and 9802 and find the biggest common factor number .
Step-1: Prime Factorization of 9782
Prime factors of 9782 are 2, 67, 73. Prime factorization of 9782 in exponential form is:
9782 = 21 × 671 × 731
Step-2: Prime Factorization of 9802
Prime factors of 9802 are 2, 13, 29. Prime factorization of 9802 in exponential form is:
9802 = 21 × 132 × 291
Step-3: Factors of 9782
List of positive integer factors of 9782 that divides 9782 without a remainder.
1, 2, 67, 73, 134, 146, 4891
Step-4: Factors of 9802
List of positive integer factors of 9802 that divides 9782 without a remainder.
1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9782 and 9802. The biggest common factor number is the GCF number.
So the greatest common factor 9782 and 9802 is 2.
Also check out the Least Common Multiple of 9782 and 9802
Related Greatest Common Factors of 9782
- GCF of 9782 and 9786
- GCF of 9782 and 9787
- GCF of 9782 and 9788
- GCF of 9782 and 9789
- GCF of 9782 and 9790
- GCF of 9782 and 9791
- GCF of 9782 and 9792
- GCF of 9782 and 9793
- GCF of 9782 and 9794
- GCF of 9782 and 9795
- GCF of 9782 and 9796
- GCF of 9782 and 9797
- GCF of 9782 and 9798
- GCF of 9782 and 9799
- GCF of 9782 and 9800
- GCF of 9782 and 9801
- GCF of 9782 and 9802
Related Greatest Common Factors of 9802
- GCF of 9802 and 9806
- GCF of 9802 and 9807
- GCF of 9802 and 9808
- GCF of 9802 and 9809
- GCF of 9802 and 9810
- GCF of 9802 and 9811
- GCF of 9802 and 9812
- GCF of 9802 and 9813
- GCF of 9802 and 9814
- GCF of 9802 and 9815
- GCF of 9802 and 9816
- GCF of 9802 and 9817
- GCF of 9802 and 9818
- GCF of 9802 and 9819
- GCF of 9802 and 9820
- GCF of 9802 and 9821
- GCF of 9802 and 9822