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 1351, 1352 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1351 and 1352 is 1.
GCF(1351,1352) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1351
7 | 1351 |
193 | 193 |
1 |
Prime factors of 1351 are 7,193. Prime factorization of 1351 in exponential form is:
1351 = 71×1931
Prime Factorization of 1352
2 | 1352 |
2 | 676 |
2 | 338 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 1352 are 2,13. Prime factorization of 1352 in exponential form is:
1352 = 23×132
∴ So by taking common prime factors GCF of 1351 and 1352 is 1
Factors of 1351
List of positive integer factors of 1351 that divides 1351 without a remainder.
1,7,193,1351
Factors of 1352
List of positive integer factors of 1352 that divides 1352 without a remainder.
1,2,4,8,13,26,52,104,169,338,676,1352
Greatest Common Factor
We found the factors and prime factorization of 1351 and 1352. The biggest common factor number is the GCF number.
So the greatest common factor 1351 and 1352 is 1.
Also check out the Least Common Multiple of 1351 and 1352
(i) The GCF of 1351 and 1352 is associative
GCF of 1351 and 1352 = GCF of 1352 and 1351
1. What is the GCF of 1351 and 1352?
Answer: GCF of 1351 and 1352 is 1.
2. What are the Factors of 1351?
Answer: Factors of 1351 are 1, 7, 193, 1351. There are 4 integers that are factors of 1351. The greatest factor of 1351 is 1351.
3. What are the Factors of 1352?
Answer: Factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352. There are 12 integers that are factors of 1352. The greatest factor of 1352 is 1352.
4. How to Find the GCF of 1351 and 1352?
Answer:
Greatest Common Factor of 1351 and 1352 = 1
Step 1: Find the prime factorization of 1351
1351 = 7 x 193
Step 2: Find the prime factorization of 1352
1352 = 2 x 2 x 2 x 13 x 13
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 1351 and 1352 is 1