What is the Greatest Common Factor of 42614 and 42632?

Greatest common factor (GCF) of 42614 and 42632 is 2.

GCF(42614,42632) = 2

We will now calculate the prime factors of 42614 and 42632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42614 and 42632.

How to find the GCF of 42614 and 42632?

We will first find the prime factorization of 42614 and 42632. After we will calculate the factors of 42614 and 42632 and find the biggest common factor number .

Step-1: Prime Factorization of 42614

Prime factors of 42614 are 2, 11, 13, 149. Prime factorization of 42614 in exponential form is:

42614 = 2¹ × 11¹ × 13¹ × 149¹

Step-2: Prime Factorization of 42632

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

42632 = 2³ × 73²

Step-3: Factors of 42614

List of positive integer factors of 42614 that divides 42614 without a remainder.

1, 2, 11, 13, 22, 26, 143, 149, 286, 298, 1639, 1937, 3278, 3874, 21307

Step-4: Factors of 42632

List of positive integer factors of 42632 that divides 42614 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42614 and 42632. The biggest common factor number is the GCF number.
So the greatest common factor 42614 and 42632 is 2.

Also check out the Least Common Multiple of 42614 and 42632