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 953, 959 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 953 and 959 is 1.
GCF(953,959) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 953
953 | 953 |
1 |
Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:
953 = 9531
Prime Factorization of 959
7 | 959 |
137 | 137 |
1 |
Prime factors of 959 are 7.Prime factorization of 959 in exponential form is:
959 = 71×1371
∴ So by taking common prime factors GCF of 953 and 959 is 1
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Greatest Common Factor
We found the factors and prime factorization of 953 and 959. The biggest common factor number is the GCF number.
So the greatest common factor 953 and 959 is 1.
Also check out the Least Common Multiple of 953 and 959
(i) The GCF of 953 and 959 is associative
GCF of 953 and 959 = GCF of 959 and 953
1. What is the GCF of 953 and 959?
Answer: GCF of 953 and 959 is 1.
2. What are the Factors of 953?
Answer: Factors of 953 are 1, 953. There are 2 integers that are factors of 953. The greatest factor of 953 is 953.
3. What are the Factors of 959?
Answer: Factors of 959 are 1, 7, 137, 959. There are 4 integers that are factors of 959. The greatest factor of 959 is 959.
4. How to Find the GCF of 953 and 959?
Answer:
Greatest Common Factor of 953 and 959 = 1
Step 1: Find the prime factorization of 953
953 = 953
Step 2: Find the prime factorization of 959
959 = 7 x 137
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 953 and 959 is 1