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 12419, 12420 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 12419 and 12420 is 1.
GCF(12419,12420) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 12419
11 | 12419 |
1129 | 1129 |
1 |
Prime factors of 12419 are 11,1129. Prime factorization of 12419 in exponential form is:
12419 = 111×11291
Prime Factorization of 12420
2 | 12420 |
2 | 6210 |
3 | 3105 |
3 | 1035 |
3 | 345 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 12420 are 2,3,5,23. Prime factorization of 12420 in exponential form is:
12420 = 22×33×51×231
∴ So by taking common prime factors GCF of 12419 and 12420 is 1
Factors of 12419
List of positive integer factors of 12419 that divides 12419 without a remainder.
1,11,1129,12419
Factors of 12420
List of positive integer factors of 12420 that divides 12420 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,23,27,30,36,45,46,54,60,69,90,92,108,115,135,138,180,207,230,270,276,345,414,460,540,621,690,828,1035,1242,1380,2070,2484,3105,4140,6210,12420
Greatest Common Factor
We found the factors and prime factorization of 12419 and 12420. The biggest common factor number is the GCF number.
So the greatest common factor 12419 and 12420 is 1.
Also check out the Least Common Multiple of 12419 and 12420
(i) The GCF of 12419 and 12420 is associative
GCF of 12419 and 12420 = GCF of 12420 and 12419
1. What is the GCF of 12419 and 12420?
Answer: GCF of 12419 and 12420 is 1.
2. What are the Factors of 12419?
Answer: Factors of 12419 are 1, 11, 1129, 12419. There are 4 integers that are factors of 12419. The greatest factor of 12419 is 12419.
3. What are the Factors of 12420?
Answer: Factors of 12420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 27, 30, 36, 45, 46, 54, 60, 69, 90, 92, 108, 115, 135, 138, 180, 207, 230, 270, 276, 345, 414, 460, 540, 621, 690, 828, 1035, 1242, 1380, 2070, 2484, 3105, 4140, 6210, 12420. There are 48 integers that are factors of 12420. The greatest factor of 12420 is 12420.
4. How to Find the GCF of 12419 and 12420?
Answer:
Greatest Common Factor of 12419 and 12420 = 1
Step 1: Find the prime factorization of 12419
12419 = 11 x 1129
Step 2: Find the prime factorization of 12420
12420 = 2 x 2 x 3 x 3 x 3 x 5 x 23
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 12419 and 12420 is 1