What is the Greatest Common Factor of 42552 and 42560?

Greatest common factor (GCF) of 42552 and 42560 is 8.

GCF(42552,42560) = 8

We will now calculate the prime factors of 42552 and 42560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42552 and 42560.

How to find the GCF of 42552 and 42560?

We will first find the prime factorization of 42552 and 42560. After we will calculate the factors of 42552 and 42560 and find the biggest common factor number .

Step-1: Prime Factorization of 42552

Prime factors of 42552 are 2, 3, 197. Prime factorization of 42552 in exponential form is:

42552 = 2³ × 3³ × 197¹

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 42552

List of positive integer factors of 42552 that divides 42552 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 197, 216, 394, 591, 788, 1182, 1576, 1773, 2364, 3546, 4728, 5319, 7092, 10638, 14184, 21276

Step-4: Factors of 42560

List of positive integer factors of 42560 that divides 42552 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 42552 and 42560. The biggest common factor number is the GCF number.
So the greatest common factor 42552 and 42560 is 8.

Also check out the Least Common Multiple of 42552 and 42560