What is the Greatest Common Factor of 3560 and 3570?

Greatest common factor (GCF) of 3560 and 3570 is 10.

GCF(3560,3570) = 10

We will now calculate the prime factors of 3560 and 3570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3560 and 3570.

How to find the GCF of 3560 and 3570?

We will first find the prime factorization of 3560 and 3570. After we will calculate the factors of 3560 and 3570 and find the biggest common factor number .

Step-1: Prime Factorization of 3560

Prime factors of 3560 are 2, 5, 89. Prime factorization of 3560 in exponential form is:

3560 = 2³ × 5¹ × 89¹

Step-2: Prime Factorization of 3570

Prime factors of 3570 are 2, 3, 5, 7, 17. Prime factorization of 3570 in exponential form is:

3570 = 2¹ × 3¹ × 5¹ × 7¹ × 17¹

Step-3: Factors of 3560

List of positive integer factors of 3560 that divides 3560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 89, 178, 356, 445, 712, 890, 1780

Step-4: Factors of 3570

List of positive integer factors of 3570 that divides 3560 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3560 and 3570. The biggest common factor number is the GCF number.
So the greatest common factor 3560 and 3570 is 10.

Also check out the Least Common Multiple of 3560 and 3570