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 1368, 1370 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1368 and 1370 is 2.
GCF(1368,1370) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1368
2 | 1368 |
2 | 684 |
2 | 342 |
3 | 171 |
3 | 57 |
19 | 19 |
1 |
Prime factors of 1368 are 2,3,19. Prime factorization of 1368 in exponential form is:
1368 = 23×32×191
Prime Factorization of 1370
2 | 1370 |
5 | 685 |
137 | 137 |
1 |
Prime factors of 1370 are 2,5,137. Prime factorization of 1370 in exponential form is:
1370 = 21×51×1371
∴ So by taking common prime factors GCF of 1368 and 1370 is 2
Factors of 1368
List of positive integer factors of 1368 that divides 1368 without a remainder.
1,2,3,4,6,8,9,12,18,19,24,36,38,57,72,76,114,152,171,228,342,456,684,1368
Factors of 1370
List of positive integer factors of 1370 that divides 1370 without a remainder.
1,2,5,10,137,274,685,1370
Greatest Common Factor
We found the factors and prime factorization of 1368 and 1370. The biggest common factor number is the GCF number.
So the greatest common factor 1368 and 1370 is 2.
Also check out the Least Common Multiple of 1368 and 1370
(i) The GCF of 1368 and 1370 is associative
GCF of 1368 and 1370 = GCF of 1370 and 1368
1. What is the GCF of 1368 and 1370?
Answer: GCF of 1368 and 1370 is 2.
2. What are the Factors of 1368?
Answer: Factors of 1368 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368. There are 24 integers that are factors of 1368. The greatest factor of 1368 is 1368.
3. What are the Factors of 1370?
Answer: Factors of 1370 are 1, 2, 5, 10, 137, 274, 685, 1370. There are 8 integers that are factors of 1370. The greatest factor of 1370 is 1370.
4. How to Find the GCF of 1368 and 1370?
Answer:
Greatest Common Factor of 1368 and 1370 = 2
Step 1: Find the prime factorization of 1368
1368 = 2 x 2 x 2 x 3 x 3 x 19
Step 2: Find the prime factorization of 1370
1370 = 2 x 5 x 137
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1368 and 1370 is 2