What is the Greatest Common Factor of 42538 and 42546?

Greatest common factor (GCF) of 42538 and 42546 is 2.

GCF(42538,42546) = 2

We will now calculate the prime factors of 42538 and 42546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42538 and 42546.

How to find the GCF of 42538 and 42546?

We will first find the prime factorization of 42538 and 42546. After we will calculate the factors of 42538 and 42546 and find the biggest common factor number .

Step-1: Prime Factorization of 42538

Prime factors of 42538 are 2, 21269. Prime factorization of 42538 in exponential form is:

42538 = 2¹ × 21269¹

Step-2: Prime Factorization of 42546

Prime factors of 42546 are 2, 3, 7, 1013. Prime factorization of 42546 in exponential form is:

42546 = 2¹ × 3¹ × 7¹ × 1013¹

Step-3: Factors of 42538

List of positive integer factors of 42538 that divides 42538 without a remainder.

1, 2, 21269

Step-4: Factors of 42546

List of positive integer factors of 42546 that divides 42538 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1013, 2026, 3039, 6078, 7091, 14182, 21273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42538 and 42546. The biggest common factor number is the GCF number.
So the greatest common factor 42538 and 42546 is 2.

Also check out the Least Common Multiple of 42538 and 42546