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 4712, 4715 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4712 and 4715 is 1.
GCF(4712,4715) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4712
2 | 4712 |
2 | 2356 |
2 | 1178 |
19 | 589 |
31 | 31 |
1 |
Prime factors of 4712 are 2,19,31. Prime factorization of 4712 in exponential form is:
4712 = 23×191×311
Prime Factorization of 4715
5 | 4715 |
23 | 943 |
41 | 41 |
1 |
Prime factors of 4715 are 5,23,41. Prime factorization of 4715 in exponential form is:
4715 = 51×231×411
∴ So by taking common prime factors GCF of 4712 and 4715 is 1
Factors of 4712
List of positive integer factors of 4712 that divides 4712 without a remainder.
1,2,4,8,19,31,38,62,76,124,152,248,589,1178,2356,4712
Factors of 4715
List of positive integer factors of 4715 that divides 4715 without a remainder.
1,5,23,41,115,205,943,4715
Greatest Common Factor
We found the factors and prime factorization of 4712 and 4715. The biggest common factor number is the GCF number.
So the greatest common factor 4712 and 4715 is 1.
Also check out the Least Common Multiple of 4712 and 4715
(i) The GCF of 4712 and 4715 is associative
GCF of 4712 and 4715 = GCF of 4715 and 4712
1. What is the GCF of 4712 and 4715?
Answer: GCF of 4712 and 4715 is 1.
2. What are the Factors of 4712?
Answer: Factors of 4712 are 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712. There are 16 integers that are factors of 4712. The greatest factor of 4712 is 4712.
3. What are the Factors of 4715?
Answer: Factors of 4715 are 1, 5, 23, 41, 115, 205, 943, 4715. There are 8 integers that are factors of 4715. The greatest factor of 4715 is 4715.
4. How to Find the GCF of 4712 and 4715?
Answer:
Greatest Common Factor of 4712 and 4715 = 1
Step 1: Find the prime factorization of 4712
4712 = 2 x 2 x 2 x 19 x 31
Step 2: Find the prime factorization of 4715
4715 = 5 x 23 x 41
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 4712 and 4715 is 1