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 4272, 4279 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4272 and 4279 is 1.
GCF(4272,4279) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4272
2 | 4272 |
2 | 2136 |
2 | 1068 |
2 | 534 |
3 | 267 |
89 | 89 |
1 |
Prime factors of 4272 are 2,3,89. Prime factorization of 4272 in exponential form is:
4272 = 24×31×891
Prime Factorization of 4279
11 | 4279 |
389 | 389 |
1 |
Prime factors of 4279 are 11,389. Prime factorization of 4279 in exponential form is:
4279 = 111×3891
∴ So by taking common prime factors GCF of 4272 and 4279 is 1
Factors of 4272
List of positive integer factors of 4272 that divides 4272 without a remainder.
1,2,3,4,6,8,12,16,24,48,89,178,267,356,534,712,1068,1424,2136,4272
Factors of 4279
List of positive integer factors of 4279 that divides 4279 without a remainder.
1,11,389,4279
Greatest Common Factor
We found the factors and prime factorization of 4272 and 4279. The biggest common factor number is the GCF number.
So the greatest common factor 4272 and 4279 is 1.
Also check out the Least Common Multiple of 4272 and 4279
(i) The GCF of 4272 and 4279 is associative
GCF of 4272 and 4279 = GCF of 4279 and 4272
1. What is the GCF of 4272 and 4279?
Answer: GCF of 4272 and 4279 is 1.
2. What are the Factors of 4272?
Answer: Factors of 4272 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136, 4272. There are 20 integers that are factors of 4272. The greatest factor of 4272 is 4272.
3. What are the Factors of 4279?
Answer: Factors of 4279 are 1, 11, 389, 4279. There are 4 integers that are factors of 4279. The greatest factor of 4279 is 4279.
4. How to Find the GCF of 4272 and 4279?
Answer:
Greatest Common Factor of 4272 and 4279 = 1
Step 1: Find the prime factorization of 4272
4272 = 2 x 2 x 2 x 2 x 3 x 89
Step 2: Find the prime factorization of 4279
4279 = 11 x 389
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 4272 and 4279 is 1