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 64, 74 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 64 and 74 is 2.
GCF(64,74) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 64
2 | 64 |
2 | 32 |
2 | 16 |
2 | 8 |
2 | 4 |
2 | 2 |
1 |
Prime factors of 64 are 2. Prime factorization of 64 in exponential form is:
64 = 26
Prime Factorization of 74
2 | 74 |
37 | 37 |
1 |
Prime factors of 74 are 2.Prime factorization of 74 in exponential form is:
74 = 21×371
∴ So by taking common prime factors GCF of 64 and 74 is 2
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Greatest Common Factor
We found the factors and prime factorization of 64 and 74. The biggest common factor number is the GCF number.
So the greatest common factor 64 and 74 is 2.
Also check out the Least Common Multiple of 64 and 74
(i) The GCF of 64 and 74 is associative
GCF of 64 and 74 = GCF of 74 and 64
1. What is the GCF of 64 and 74?
Answer: GCF of 64 and 74 is 2.
2. What are the Factors of 64?
Answer: Factors of 64 are 1, 2, 4, 8, 16, 32, 64. There are 7 integers that are factors of 64. The greatest factor of 64 is 64.
3. What are the Factors of 74?
Answer: Factors of 74 are 1, 2, 37, 74. There are 4 integers that are factors of 74. The greatest factor of 74 is 74.
4. How to Find the GCF of 64 and 74?
Answer:
Greatest Common Factor of 64 and 74 = 2
Step 1: Find the prime factorization of 64
64 = 2 x 2 x 2 x 2 x 2 x 2
Step 2: Find the prime factorization of 74
74 = 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
Step 4: Therefore, the greatest common factor of 64 and 74 is 2