What is the Greatest Common Factor of 42560 and 42567?

Greatest common factor (GCF) of 42560 and 42567 is 7.

GCF(42560,42567) = 7

We will now calculate the prime factors of 42560 and 42567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42560 and 42567.

How to find the GCF of 42560 and 42567?

We will first find the prime factorization of 42560 and 42567. After we will calculate the factors of 42560 and 42567 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 42567

Prime factors of 42567 are 3, 7, 2027. Prime factorization of 42567 in exponential form is:

42567 = 3¹ × 7¹ × 2027¹

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 42567

List of positive integer factors of 42567 that divides 42560 without a remainder.

1, 3, 7, 21, 2027, 6081, 14189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42560 and 42567. The biggest common factor number is the GCF number.
So the greatest common factor 42560 and 42567 is 7.

Also check out the Least Common Multiple of 42560 and 42567