What is the Greatest Common Factor of 42560 and 42578?

Greatest common factor (GCF) of 42560 and 42578 is 2.

GCF(42560,42578) = 2

We will now calculate the prime factors of 42560 and 42578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42560 and 42578.

How to find the GCF of 42560 and 42578?

We will first find the prime factorization of 42560 and 42578. After we will calculate the factors of 42560 and 42578 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 42578

Prime factors of 42578 are 2, 61, 349. Prime factorization of 42578 in exponential form is:

42578 = 2¹ × 61¹ × 349¹

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 42578

List of positive integer factors of 42578 that divides 42560 without a remainder.

1, 2, 61, 122, 349, 698, 21289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42560 and 42578. The biggest common factor number is the GCF number.
So the greatest common factor 42560 and 42578 is 2.

Also check out the Least Common Multiple of 42560 and 42578