GCF and LCM Calculator Logo

What is the Greatest Common Factor of 42548 and 42552?

Greatest common factor (GCF) of 42548 and 42552 is 4.

GCF(42548,42552) = 4

We will now calculate the prime factors of 42548 and 42552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42548 and 42552.

GCF Calculator and
and

How to find the GCF of 42548 and 42552?

We will first find the prime factorization of 42548 and 42552. After we will calculate the factors of 42548 and 42552 and find the biggest common factor number .

Step-1: Prime Factorization of 42548

Prime factors of 42548 are 2, 11, 967. Prime factorization of 42548 in exponential form is:

42548 = 22 × 111 × 9671

Step-2: 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-3: Factors of 42548

List of positive integer factors of 42548 that divides 42548 without a remainder.

1, 2, 4, 11, 22, 44, 967, 1934, 3868, 10637, 21274

Step-4: Factors of 42552

List of positive integer factors of 42552 that divides 42548 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42548 and 42552. The biggest common factor number is the GCF number.
So the greatest common factor 42548 and 42552 is 4.

Also check out the Least Common Multiple of 42548 and 42552