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 1472, 1477 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1472 and 1477 is 1.
GCF(1472,1477) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1472
2 | 1472 |
2 | 736 |
2 | 368 |
2 | 184 |
2 | 92 |
2 | 46 |
23 | 23 |
1 |
Prime factors of 1472 are 2,23. Prime factorization of 1472 in exponential form is:
1472 = 26×231
Prime Factorization of 1477
7 | 1477 |
211 | 211 |
1 |
Prime factors of 1477 are 7,211. Prime factorization of 1477 in exponential form is:
1477 = 71×2111
∴ So by taking common prime factors GCF of 1472 and 1477 is 1
Factors of 1472
List of positive integer factors of 1472 that divides 1472 without a remainder.
1,2,4,8,16,23,32,46,64,92,184,368,736,1472
Factors of 1477
List of positive integer factors of 1477 that divides 1477 without a remainder.
1,7,211,1477
Greatest Common Factor
We found the factors and prime factorization of 1472 and 1477. The biggest common factor number is the GCF number.
So the greatest common factor 1472 and 1477 is 1.
Also check out the Least Common Multiple of 1472 and 1477
(i) The GCF of 1472 and 1477 is associative
GCF of 1472 and 1477 = GCF of 1477 and 1472
1. What is the GCF of 1472 and 1477?
Answer: GCF of 1472 and 1477 is 1.
2. What are the Factors of 1472?
Answer: Factors of 1472 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472. There are 14 integers that are factors of 1472. The greatest factor of 1472 is 1472.
3. What are the Factors of 1477?
Answer: Factors of 1477 are 1, 7, 211, 1477. There are 4 integers that are factors of 1477. The greatest factor of 1477 is 1477.
4. How to Find the GCF of 1472 and 1477?
Answer:
Greatest Common Factor of 1472 and 1477 = 1
Step 1: Find the prime factorization of 1472
1472 = 2 x 2 x 2 x 2 x 2 x 2 x 23
Step 2: Find the prime factorization of 1477
1477 = 7 x 211
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 1472 and 1477 is 1