What is the Greatest Common Factor of 42560 and 42564?

Greatest common factor (GCF) of 42560 and 42564 is 4.

GCF(42560,42564) = 4

We will now calculate the prime factors of 42560 and 42564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42560 and 42564.

How to find the GCF of 42560 and 42564?

We will first find the prime factorization of 42560 and 42564. After we will calculate the factors of 42560 and 42564 and find the biggest common factor number .

Step-1: Prime Factorization of 42560

Prime factors of 42560 are 2, 5, 7, 19. Prime factorization of 42560 in exponential form is:

42560 = 2⁶ × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 42564

Prime factors of 42564 are 2, 3, 3547. Prime factorization of 42564 in exponential form is:

42564 = 2² × 3¹ × 3547¹

Step-3: Factors of 42560

List of positive integer factors of 42560 that divides 42560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 28, 32, 35, 38, 40, 56, 64, 70, 76, 80, 95, 112, 133, 140, 152, 160, 190, 224, 266, 280, 304, 320, 380, 448, 532, 560, 608, 665, 760, 1064, 1120, 1216, 1330, 1520, 2128, 2240, 2660, 3040, 4256, 5320, 6080, 8512, 10640, 21280

Step-4: Factors of 42564

List of positive integer factors of 42564 that divides 42560 without a remainder.

1, 2, 3, 4, 6, 12, 3547, 7094, 10641, 14188, 21282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42560 and 42564. The biggest common factor number is the GCF number.
So the greatest common factor 42560 and 42564 is 4.

Also check out the Least Common Multiple of 42560 and 42564