What is the Greatest Common Factor of 42546 and 42560?

Greatest common factor (GCF) of 42546 and 42560 is 14.

GCF(42546,42560) = 14

We will now calculate the prime factors of 42546 and 42560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42546 and 42560.

How to find the GCF of 42546 and 42560?

We will first find the prime factorization of 42546 and 42560. After we will calculate the factors of 42546 and 42560 and find the biggest common factor number .

Step-1: Prime Factorization of 42546

Prime factors of 42546 are 2, 3, 7, 1013. Prime factorization of 42546 in exponential form is:

42546 = 2¹ × 3¹ × 7¹ × 1013¹

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 42546

List of positive integer factors of 42546 that divides 42546 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1013, 2026, 3039, 6078, 7091, 14182, 21273

Step-4: Factors of 42560

List of positive integer factors of 42560 that divides 42546 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 42546 and 42560. The biggest common factor number is the GCF number.
So the greatest common factor 42546 and 42560 is 14.

Also check out the Least Common Multiple of 42546 and 42560