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 9464, 9472 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9464 and 9472 is 8.
GCF(9464,9472) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9464
2 | 9464 |
2 | 4732 |
2 | 2366 |
7 | 1183 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 9464 are 2,7,13. Prime factorization of 9464 in exponential form is:
9464 = 23×71×132
Prime Factorization of 9472
2 | 9472 |
2 | 4736 |
2 | 2368 |
2 | 1184 |
2 | 592 |
2 | 296 |
2 | 148 |
2 | 74 |
37 | 37 |
1 |
Prime factors of 9472 are 2,37. Prime factorization of 9472 in exponential form is:
9472 = 28×371
∴ So by taking common prime factors GCF of 9464 and 9472 is 8
Factors of 9464
List of positive integer factors of 9464 that divides 9464 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464
Factors of 9472
List of positive integer factors of 9472 that divides 9472 without a remainder.
1,2,4,8,16,32,37,64,74,128,148,256,296,592,1184,2368,4736,9472
Greatest Common Factor
We found the factors and prime factorization of 9464 and 9472. The biggest common factor number is the GCF number.
So the greatest common factor 9464 and 9472 is 8.
Also check out the Least Common Multiple of 9464 and 9472
(i) The GCF of 9464 and 9472 is associative
GCF of 9464 and 9472 = GCF of 9472 and 9464
1. What is the GCF of 9464 and 9472?
Answer: GCF of 9464 and 9472 is 8.
2. What are the Factors of 9464?
Answer: Factors of 9464 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464. There are 24 integers that are factors of 9464. The greatest factor of 9464 is 9464.
3. What are the Factors of 9472?
Answer: Factors of 9472 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472. There are 18 integers that are factors of 9472. The greatest factor of 9472 is 9472.
4. How to Find the GCF of 9464 and 9472?
Answer:
Greatest Common Factor of 9464 and 9472 = 8
Step 1: Find the prime factorization of 9464
9464 = 2 x 2 x 2 x 7 x 13 x 13
Step 2: Find the prime factorization of 9472
9472 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 9464 and 9472 is 8