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 7469, 7476 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7469 and 7476 is 7.
GCF(7469,7476) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7469
7 | 7469 |
11 | 1067 |
97 | 97 |
1 |
Prime factors of 7469 are 7,11,97. Prime factorization of 7469 in exponential form is:
7469 = 71×111×971
Prime Factorization of 7476
2 | 7476 |
2 | 3738 |
3 | 1869 |
7 | 623 |
89 | 89 |
1 |
Prime factors of 7476 are 2,3,7,89. Prime factorization of 7476 in exponential form is:
7476 = 22×31×71×891
∴ So by taking common prime factors GCF of 7469 and 7476 is 7
Factors of 7469
List of positive integer factors of 7469 that divides 7469 without a remainder.
1,7,11,77,97,679,1067,7469
Factors of 7476
List of positive integer factors of 7476 that divides 7476 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476
Greatest Common Factor
We found the factors and prime factorization of 7469 and 7476. The biggest common factor number is the GCF number.
So the greatest common factor 7469 and 7476 is 7.
Also check out the Least Common Multiple of 7469 and 7476
(i) The GCF of 7469 and 7476 is associative
GCF of 7469 and 7476 = GCF of 7476 and 7469
1. What is the GCF of 7469 and 7476?
Answer: GCF of 7469 and 7476 is 7.
2. What are the Factors of 7469?
Answer: Factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469. There are 8 integers that are factors of 7469. The greatest factor of 7469 is 7469.
3. What are the Factors of 7476?
Answer: Factors of 7476 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738, 7476. There are 24 integers that are factors of 7476. The greatest factor of 7476 is 7476.
4. How to Find the GCF of 7469 and 7476?
Answer:
Greatest Common Factor of 7469 and 7476 = 7
Step 1: Find the prime factorization of 7469
7469 = 7 x 11 x 97
Step 2: Find the prime factorization of 7476
7476 = 2 x 2 x 3 x 7 x 89
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 7469 and 7476 is 7