What is the Greatest Common Factor of 42612 and 42629?

Greatest common factor (GCF) of 42612 and 42629 is 1.

GCF(42612,42629) = 1

We will now calculate the prime factors of 42612 and 42629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42612 and 42629.

How to find the GCF of 42612 and 42629?

We will first find the prime factorization of 42612 and 42629. After we will calculate the factors of 42612 and 42629 and find the biggest common factor number .

Step-1: Prime Factorization of 42612

Prime factors of 42612 are 2, 3, 53, 67. Prime factorization of 42612 in exponential form is:

42612 = 2² × 3¹ × 53¹ × 67¹

Step-2: Prime Factorization of 42629

Prime factors of 42629 are 47, 907. Prime factorization of 42629 in exponential form is:

42629 = 47¹ × 907¹

Step-3: Factors of 42612

List of positive integer factors of 42612 that divides 42612 without a remainder.

1, 2, 3, 4, 6, 12, 53, 67, 106, 134, 159, 201, 212, 268, 318, 402, 636, 804, 3551, 7102, 10653, 14204, 21306

Step-4: Factors of 42629

List of positive integer factors of 42629 that divides 42612 without a remainder.

1, 47, 907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42612 and 42629. The biggest common factor number is the GCF number.
So the greatest common factor 42612 and 42629 is 1.

Also check out the Least Common Multiple of 42612 and 42629