What is the Greatest Common Factor of 42522 and 42540?

Greatest common factor (GCF) of 42522 and 42540 is 6.

GCF(42522,42540) = 6

We will now calculate the prime factors of 42522 and 42540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42522 and 42540.

How to find the GCF of 42522 and 42540?

We will first find the prime factorization of 42522 and 42540. After we will calculate the factors of 42522 and 42540 and find the biggest common factor number .

Step-1: Prime Factorization of 42522

Prime factors of 42522 are 2, 3, 19, 373. Prime factorization of 42522 in exponential form is:

42522 = 2¹ × 3¹ × 19¹ × 373¹

Step-2: Prime Factorization of 42540

Prime factors of 42540 are 2, 3, 5, 709. Prime factorization of 42540 in exponential form is:

42540 = 2² × 3¹ × 5¹ × 709¹

Step-3: Factors of 42522

List of positive integer factors of 42522 that divides 42522 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 373, 746, 1119, 2238, 7087, 14174, 21261

Step-4: Factors of 42540

List of positive integer factors of 42540 that divides 42522 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 709, 1418, 2127, 2836, 3545, 4254, 7090, 8508, 10635, 14180, 21270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42522 and 42540. The biggest common factor number is the GCF number.
So the greatest common factor 42522 and 42540 is 6.

Also check out the Least Common Multiple of 42522 and 42540