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 4957, 4960 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4957 and 4960 is 1.
GCF(4957,4960) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4957
4957 | 4957 |
1 |
Prime factors of 4957 are 4957. Prime factorization of 4957 in exponential form is:
4957 = 49571
Prime Factorization of 4960
2 | 4960 |
2 | 2480 |
2 | 1240 |
2 | 620 |
2 | 310 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 4960 are 2.Prime factorization of 4960 in exponential form is:
4960 = 25×51×311
∴ So by taking common prime factors GCF of 4957 and 4960 is 1
Factors of 4957
List of positive integer factors of 4957 that divides 4957 without a remainder.
1,4957
Factors of 4960
List of positive integer factors of 4960 that divides 4960 without a remainder.
1,2,4,5,8,10,16,20,31,32,40,62,80,124,155,160,248,310,496,620,992,1240,2480,4960
Greatest Common Factor
We found the factors and prime factorization of 4957 and 4960. The biggest common factor number is the GCF number.
So the greatest common factor 4957 and 4960 is 1.
Also check out the Least Common Multiple of 4957 and 4960
(i) The GCF of 4957 and 4960 is associative
GCF of 4957 and 4960 = GCF of 4960 and 4957
1. What is the GCF of 4957 and 4960?
Answer: GCF of 4957 and 4960 is 1.
2. What are the Factors of 4957?
Answer: Factors of 4957 are 1, 4957. There are 2 integers that are factors of 4957. The greatest factor of 4957 is 4957.
3. What are the Factors of 4960?
Answer: Factors of 4960 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960. There are 24 integers that are factors of 4960. The greatest factor of 4960 is 4960.
4. How to Find the GCF of 4957 and 4960?
Answer:
Greatest Common Factor of 4957 and 4960 = 1
Step 1: Find the prime factorization of 4957
4957 = 4957
Step 2: Find the prime factorization of 4960
4960 = 2 x 2 x 2 x 2 x 2 x 5 x 31
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 4957 and 4960 is 1