What is the Greatest Common Factor of 42632 and 42648?

Greatest common factor (GCF) of 42632 and 42648 is 8.

GCF(42632,42648) = 8

We will now calculate the prime factors of 42632 and 42648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42632 and 42648.

How to find the GCF of 42632 and 42648?

We will first find the prime factorization of 42632 and 42648. After we will calculate the factors of 42632 and 42648 and find the biggest common factor number .

Step-1: Prime Factorization of 42632

Prime factors of 42632 are 2, 73. Prime factorization of 42632 in exponential form is:

42632 = 2³ × 73²

Step-2: Prime Factorization of 42648

Prime factors of 42648 are 2, 3, 1777. Prime factorization of 42648 in exponential form is:

42648 = 2³ × 3¹ × 1777¹

Step-3: Factors of 42632

List of positive integer factors of 42632 that divides 42632 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584, 5329, 10658, 21316

Step-4: Factors of 42648

List of positive integer factors of 42648 that divides 42632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1777, 3554, 5331, 7108, 10662, 14216, 21324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42632 and 42648. The biggest common factor number is the GCF number.
So the greatest common factor 42632 and 42648 is 8.

Also check out the Least Common Multiple of 42632 and 42648