What is the Greatest Common Factor of 42600 and 42619?

Greatest common factor (GCF) of 42600 and 42619 is 1.

GCF(42600,42619) = 1

We will now calculate the prime factors of 42600 and 42619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42600 and 42619.

How to find the GCF of 42600 and 42619?

We will first find the prime factorization of 42600 and 42619. After we will calculate the factors of 42600 and 42619 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 42619

Prime factors of 42619 are 17, 23, 109. Prime factorization of 42619 in exponential form is:

42619 = 17¹ × 23¹ × 109¹

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 42619

List of positive integer factors of 42619 that divides 42600 without a remainder.

1, 17, 23, 109, 391, 1853, 2507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42600 and 42619. The biggest common factor number is the GCF number.
So the greatest common factor 42600 and 42619 is 1.

Also check out the Least Common Multiple of 42600 and 42619