What is the Greatest Common Factor of 7560 and 7564?

Greatest common factor (GCF) of 7560 and 7564 is 4.

GCF(7560,7564) = 4

We will now calculate the prime factors of 7560 and 7564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7560 and 7564.

How to find the GCF of 7560 and 7564?

We will first find the prime factorization of 7560 and 7564. After we will calculate the factors of 7560 and 7564 and find the biggest common factor number .

Step-1: Prime Factorization of 7560

Prime factors of 7560 are 2, 3, 5, 7. Prime factorization of 7560 in exponential form is:

7560 = 2³ × 3³ × 5¹ × 7¹

Step-2: Prime Factorization of 7564

Prime factors of 7564 are 2, 31, 61. Prime factorization of 7564 in exponential form is:

7564 = 2² × 31¹ × 61¹

Step-3: Factors of 7560

List of positive integer factors of 7560 that divides 7560 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780

Step-4: Factors of 7564

List of positive integer factors of 7564 that divides 7560 without a remainder.

1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7560 and 7564. The biggest common factor number is the GCF number.
So the greatest common factor 7560 and 7564 is 4.

Also check out the Least Common Multiple of 7560 and 7564