What is the Greatest Common Factor of 5635 and 5640?

Greatest common factor (GCF) of 5635 and 5640 is 5.

GCF(5635,5640) = 5

We will now calculate the prime factors of 5635 and 5640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5635 and 5640.

How to find the GCF of 5635 and 5640?

We will first find the prime factorization of 5635 and 5640. After we will calculate the factors of 5635 and 5640 and find the biggest common factor number .

Step-1: Prime Factorization of 5635

Prime factors of 5635 are 5, 7, 23. Prime factorization of 5635 in exponential form is:

5635 = 5¹ × 7² × 23¹

Step-2: Prime Factorization of 5640

Prime factors of 5640 are 2, 3, 5, 47. Prime factorization of 5640 in exponential form is:

5640 = 2³ × 3¹ × 5¹ × 47¹

Step-3: Factors of 5635

List of positive integer factors of 5635 that divides 5635 without a remainder.

1, 5, 7, 23, 35, 49, 115, 161, 245, 805, 1127

Step-4: Factors of 5640

List of positive integer factors of 5640 that divides 5635 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5635 and 5640. The biggest common factor number is the GCF number.
So the greatest common factor 5635 and 5640 is 5.

Also check out the Least Common Multiple of 5635 and 5640