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 3572, 3580 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3572 and 3580 is 4.
GCF(3572,3580) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3572
2 | 3572 |
2 | 1786 |
19 | 893 |
47 | 47 |
1 |
Prime factors of 3572 are 2,19,47. Prime factorization of 3572 in exponential form is:
3572 = 22×191×471
Prime Factorization of 3580
2 | 3580 |
2 | 1790 |
5 | 895 |
179 | 179 |
1 |
Prime factors of 3580 are 2,5,179. Prime factorization of 3580 in exponential form is:
3580 = 22×51×1791
∴ So by taking common prime factors GCF of 3572 and 3580 is 4
Factors of 3572
List of positive integer factors of 3572 that divides 3572 without a remainder.
1,2,4,19,38,47,76,94,188,893,1786,3572
Factors of 3580
List of positive integer factors of 3580 that divides 3580 without a remainder.
1,2,4,5,10,20,179,358,716,895,1790,3580
Greatest Common Factor
We found the factors and prime factorization of 3572 and 3580. The biggest common factor number is the GCF number.
So the greatest common factor 3572 and 3580 is 4.
Also check out the Least Common Multiple of 3572 and 3580
(i) The GCF of 3572 and 3580 is associative
GCF of 3572 and 3580 = GCF of 3580 and 3572
1. What is the GCF of 3572 and 3580?
Answer: GCF of 3572 and 3580 is 4.
2. What are the Factors of 3572?
Answer: Factors of 3572 are 1, 2, 4, 19, 38, 47, 76, 94, 188, 893, 1786, 3572. There are 12 integers that are factors of 3572. The greatest factor of 3572 is 3572.
3. What are the Factors of 3580?
Answer: Factors of 3580 are 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790, 3580. There are 12 integers that are factors of 3580. The greatest factor of 3580 is 3580.
4. How to Find the GCF of 3572 and 3580?
Answer:
Greatest Common Factor of 3572 and 3580 = 4
Step 1: Find the prime factorization of 3572
3572 = 2 x 2 x 19 x 47
Step 2: Find the prime factorization of 3580
3580 = 2 x 2 x 5 x 179
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 3572 and 3580 is 4