What is the Greatest Common Factor of 42600 and 42616?

Greatest common factor (GCF) of 42600 and 42616 is 8.

GCF(42600,42616) = 8

We will now calculate the prime factors of 42600 and 42616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42600 and 42616.

How to find the GCF of 42600 and 42616?

We will first find the prime factorization of 42600 and 42616. After we will calculate the factors of 42600 and 42616 and find the biggest common factor number .

Step-1: Prime Factorization of 42600

Prime factors of 42600 are 2, 3, 5, 71. Prime factorization of 42600 in exponential form is:

42600 = 2³ × 3¹ × 5² × 71¹

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 42600

List of positive integer factors of 42600 that divides 42600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 71, 75, 100, 120, 142, 150, 200, 213, 284, 300, 355, 426, 568, 600, 710, 852, 1065, 1420, 1704, 1775, 2130, 2840, 3550, 4260, 5325, 7100, 8520, 10650, 14200, 21300

Step-4: Factors of 42616

List of positive integer factors of 42616 that divides 42600 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 42600 and 42616. The biggest common factor number is the GCF number.
So the greatest common factor 42600 and 42616 is 8.

Also check out the Least Common Multiple of 42600 and 42616