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 1415, 1420 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1415 and 1420 is 5.
GCF(1415,1420) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1415
5 | 1415 |
283 | 283 |
1 |
Prime factors of 1415 are 5,283. Prime factorization of 1415 in exponential form is:
1415 = 51×2831
Prime Factorization of 1420
2 | 1420 |
2 | 710 |
5 | 355 |
71 | 71 |
1 |
Prime factors of 1420 are 2,5,71. Prime factorization of 1420 in exponential form is:
1420 = 22×51×711
∴ So by taking common prime factors GCF of 1415 and 1420 is 5
Factors of 1415
List of positive integer factors of 1415 that divides 1415 without a remainder.
1,5,283,1415
Factors of 1420
List of positive integer factors of 1420 that divides 1420 without a remainder.
1,2,4,5,10,20,71,142,284,355,710,1420
Greatest Common Factor
We found the factors and prime factorization of 1415 and 1420. The biggest common factor number is the GCF number.
So the greatest common factor 1415 and 1420 is 5.
Also check out the Least Common Multiple of 1415 and 1420
(i) The GCF of 1415 and 1420 is associative
GCF of 1415 and 1420 = GCF of 1420 and 1415
1. What is the GCF of 1415 and 1420?
Answer: GCF of 1415 and 1420 is 5.
2. What are the Factors of 1415?
Answer: Factors of 1415 are 1, 5, 283, 1415. There are 4 integers that are factors of 1415. The greatest factor of 1415 is 1415.
3. What are the Factors of 1420?
Answer: Factors of 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420. There are 12 integers that are factors of 1420. The greatest factor of 1420 is 1420.
4. How to Find the GCF of 1415 and 1420?
Answer:
Greatest Common Factor of 1415 and 1420 = 5
Step 1: Find the prime factorization of 1415
1415 = 5 x 283
Step 2: Find the prime factorization of 1420
1420 = 2 x 2 x 5 x 71
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 1415 and 1420 is 5