What is the Greatest Common Factor of 42541 and 42560?

Greatest common factor (GCF) of 42541 and 42560 is 19.

GCF(42541,42560) = 19

We will now calculate the prime factors of 42541 and 42560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42541 and 42560.

How to find the GCF of 42541 and 42560?

We will first find the prime factorization of 42541 and 42560. After we will calculate the factors of 42541 and 42560 and find the biggest common factor number .

Step-1: Prime Factorization of 42541

Prime factors of 42541 are 19, 2239. Prime factorization of 42541 in exponential form is:

42541 = 19¹ × 2239¹

Step-2: 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-3: Factors of 42541

List of positive integer factors of 42541 that divides 42541 without a remainder.

1, 19, 2239

Step-4: Factors of 42560

List of positive integer factors of 42560 that divides 42541 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42541 and 42560. The biggest common factor number is the GCF number.
So the greatest common factor 42541 and 42560 is 19.

Also check out the Least Common Multiple of 42541 and 42560