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 7570, 7574 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7570 and 7574 is 2.
GCF(7570,7574) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7570
2 | 7570 |
5 | 3785 |
757 | 757 |
1 |
Prime factors of 7570 are 2,5,757. Prime factorization of 7570 in exponential form is:
7570 = 21×51×7571
Prime Factorization of 7574
2 | 7574 |
7 | 3787 |
541 | 541 |
1 |
Prime factors of 7574 are 2,7,541. Prime factorization of 7574 in exponential form is:
7574 = 21×71×5411
∴ So by taking common prime factors GCF of 7570 and 7574 is 2
Factors of 7570
List of positive integer factors of 7570 that divides 7570 without a remainder.
1,2,5,10,757,1514,3785,7570
Factors of 7574
List of positive integer factors of 7574 that divides 7574 without a remainder.
1,2,7,14,541,1082,3787,7574
Greatest Common Factor
We found the factors and prime factorization of 7570 and 7574. The biggest common factor number is the GCF number.
So the greatest common factor 7570 and 7574 is 2.
Also check out the Least Common Multiple of 7570 and 7574
(i) The GCF of 7570 and 7574 is associative
GCF of 7570 and 7574 = GCF of 7574 and 7570
1. What is the GCF of 7570 and 7574?
Answer: GCF of 7570 and 7574 is 2.
2. What are the Factors of 7570?
Answer: Factors of 7570 are 1, 2, 5, 10, 757, 1514, 3785, 7570. There are 8 integers that are factors of 7570. The greatest factor of 7570 is 7570.
3. What are the Factors of 7574?
Answer: Factors of 7574 are 1, 2, 7, 14, 541, 1082, 3787, 7574. There are 8 integers that are factors of 7574. The greatest factor of 7574 is 7574.
4. How to Find the GCF of 7570 and 7574?
Answer:
Greatest Common Factor of 7570 and 7574 = 2
Step 1: Find the prime factorization of 7570
7570 = 2 x 5 x 757
Step 2: Find the prime factorization of 7574
7574 = 2 x 7 x 541
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 7570 and 7574 is 2