What is the Greatest Common Factor of 42540 and 42560?

Greatest common factor (GCF) of 42540 and 42560 is 20.

GCF(42540,42560) = 20

We will now calculate the prime factors of 42540 and 42560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42540 and 42560.

How to find the GCF of 42540 and 42560?

We will first find the prime factorization of 42540 and 42560. After we will calculate the factors of 42540 and 42560 and find the biggest common factor number .

Step-1: Prime Factorization of 42540

Prime factors of 42540 are 2, 3, 5, 709. Prime factorization of 42540 in exponential form is:

42540 = 2² × 3¹ × 5¹ × 709¹

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 42540

List of positive integer factors of 42540 that divides 42540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 709, 1418, 2127, 2836, 3545, 4254, 7090, 8508, 10635, 14180, 21270

Step-4: Factors of 42560

List of positive integer factors of 42560 that divides 42540 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 42540 and 42560. The biggest common factor number is the GCF number.
So the greatest common factor 42540 and 42560 is 20.

Also check out the Least Common Multiple of 42540 and 42560