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 1491, 1492 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1491 and 1492 is 1.
GCF(1491,1492) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1491
3 | 1491 |
7 | 497 |
71 | 71 |
1 |
Prime factors of 1491 are 3,7,71. Prime factorization of 1491 in exponential form is:
1491 = 31×71×711
Prime Factorization of 1492
2 | 1492 |
2 | 746 |
373 | 373 |
1 |
Prime factors of 1492 are 2,373. Prime factorization of 1492 in exponential form is:
1492 = 22×3731
∴ So by taking common prime factors GCF of 1491 and 1492 is 1
Factors of 1491
List of positive integer factors of 1491 that divides 1491 without a remainder.
1,3,7,21,71,213,497,1491
Factors of 1492
List of positive integer factors of 1492 that divides 1492 without a remainder.
1,2,4,373,746,1492
Greatest Common Factor
We found the factors and prime factorization of 1491 and 1492. The biggest common factor number is the GCF number.
So the greatest common factor 1491 and 1492 is 1.
Also check out the Least Common Multiple of 1491 and 1492
(i) The GCF of 1491 and 1492 is associative
GCF of 1491 and 1492 = GCF of 1492 and 1491
1. What is the GCF of 1491 and 1492?
Answer: GCF of 1491 and 1492 is 1.
2. What are the Factors of 1491?
Answer: Factors of 1491 are 1, 3, 7, 21, 71, 213, 497, 1491. There are 8 integers that are factors of 1491. The greatest factor of 1491 is 1491.
3. What are the Factors of 1492?
Answer: Factors of 1492 are 1, 2, 4, 373, 746, 1492. There are 6 integers that are factors of 1492. The greatest factor of 1492 is 1492.
4. How to Find the GCF of 1491 and 1492?
Answer:
Greatest Common Factor of 1491 and 1492 = 1
Step 1: Find the prime factorization of 1491
1491 = 3 x 7 x 71
Step 2: Find the prime factorization of 1492
1492 = 2 x 2 x 373
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 1491 and 1492 is 1