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 47767, 47772 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 47767 and 47772 is 1.
GCF(47767,47772) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 47767
37 | 47767 |
1291 | 1291 |
1 |
Prime factors of 47767 are 37,1291. Prime factorization of 47767 in exponential form is:
47767 = 371×12911
Prime Factorization of 47772
2 | 47772 |
2 | 23886 |
3 | 11943 |
3 | 3981 |
1327 | 1327 |
1 |
Prime factors of 47772 are 2,3,1327. Prime factorization of 47772 in exponential form is:
47772 = 22×32×13271
∴ So by taking common prime factors GCF of 47767 and 47772 is 1
Factors of 47767
List of positive integer factors of 47767 that divides 47767 without a remainder.
1,37,1291,47767
Factors of 47772
List of positive integer factors of 47772 that divides 47772 without a remainder.
1,2,3,4,6,9,12,18,36,1327,2654,3981,5308,7962,11943,15924,23886,47772
Greatest Common Factor
We found the factors and prime factorization of 47767 and 47772. The biggest common factor number is the GCF number.
So the greatest common factor 47767 and 47772 is 1.
Also check out the Least Common Multiple of 47767 and 47772
(i) The GCF of 47767 and 47772 is associative
GCF of 47767 and 47772 = GCF of 47772 and 47767
1. What is the GCF of 47767 and 47772?
Answer: GCF of 47767 and 47772 is 1.
2. What are the Factors of 47767?
Answer: Factors of 47767 are 1, 37, 1291, 47767. There are 4 integers that are factors of 47767. The greatest factor of 47767 is 47767.
3. What are the Factors of 47772?
Answer: Factors of 47772 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 1327, 2654, 3981, 5308, 7962, 11943, 15924, 23886, 47772. There are 18 integers that are factors of 47772. The greatest factor of 47772 is 47772.
4. How to Find the GCF of 47767 and 47772?
Answer:
Greatest Common Factor of 47767 and 47772 = 1
Step 1: Find the prime factorization of 47767
47767 = 37 x 1291
Step 2: Find the prime factorization of 47772
47772 = 2 x 2 x 3 x 3 x 1327
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 47767 and 47772 is 1