What is the Greatest Common Factor of 42609 and 42616?

Greatest common factor (GCF) of 42609 and 42616 is 7.

GCF(42609,42616) = 7

We will now calculate the prime factors of 42609 and 42616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42609 and 42616.

How to find the GCF of 42609 and 42616?

We will first find the prime factorization of 42609 and 42616. After we will calculate the factors of 42609 and 42616 and find the biggest common factor number .

Step-1: Prime Factorization of 42609

Prime factors of 42609 are 3, 7, 2029. Prime factorization of 42609 in exponential form is:

42609 = 3¹ × 7¹ × 2029¹

Step-2: Prime Factorization of 42616

Prime factors of 42616 are 2, 7, 761. Prime factorization of 42616 in exponential form is:

42616 = 2³ × 7¹ × 761¹

Step-3: Factors of 42609

List of positive integer factors of 42609 that divides 42609 without a remainder.

1, 3, 7, 21, 2029, 6087, 14203

Step-4: Factors of 42616

List of positive integer factors of 42616 that divides 42609 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 761, 1522, 3044, 5327, 6088, 10654, 21308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42609 and 42616. The biggest common factor number is the GCF number.
So the greatest common factor 42609 and 42616 is 7.

Also check out the Least Common Multiple of 42609 and 42616