Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9953, 9954 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9953 and 9954 is 1.
GCF(9953,9954) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9953
37 | 9953 |
269 | 269 |
1 |
Prime factors of 9953 are 37,269. Prime factorization of 9953 in exponential form is:
9953 = 371×2691
Prime Factorization of 9954
2 | 9954 |
3 | 4977 |
3 | 1659 |
7 | 553 |
79 | 79 |
1 |
Prime factors of 9954 are 2,3,7,79. Prime factorization of 9954 in exponential form is:
9954 = 21×32×71×791
∴ So by taking common prime factors GCF of 9953 and 9954 is 1
Factors of 9953
List of positive integer factors of 9953 that divides 9953 without a remainder.
1,37,269,9953
Factors of 9954
List of positive integer factors of 9954 that divides 9954 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,79,126,158,237,474,553,711,1106,1422,1659,3318,4977,9954
Greatest Common Factor
We found the factors and prime factorization of 9953 and 9954. The biggest common factor number is the GCF number.
So the greatest common factor 9953 and 9954 is 1.
Also check out the Least Common Multiple of 9953 and 9954
(i) The GCF of 9953 and 9954 is associative
GCF of 9953 and 9954 = GCF of 9954 and 9953
1. What is the GCF of 9953 and 9954?
Answer: GCF of 9953 and 9954 is 1.
2. What are the Factors of 9953?
Answer: Factors of 9953 are 1, 37, 269, 9953. There are 4 integers that are factors of 9953. The greatest factor of 9953 is 9953.
3. What are the Factors of 9954?
Answer: Factors of 9954 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954. There are 24 integers that are factors of 9954. The greatest factor of 9954 is 9954.
4. How to Find the GCF of 9953 and 9954?
Answer:
Greatest Common Factor of 9953 and 9954 = 1
Step 1: Find the prime factorization of 9953
9953 = 37 x 269
Step 2: Find the prime factorization of 9954
9954 = 2 x 3 x 3 x 7 x 79
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 9953 and 9954 is 1