What is the Greatest Common Factor of 42938 and 42958?

Greatest common factor (GCF) of 42938 and 42958 is 2.

GCF(42938,42958) = 2

We will now calculate the prime factors of 42938 and 42958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42938 and 42958.

How to find the GCF of 42938 and 42958?

We will first find the prime factorization of 42938 and 42958. After we will calculate the factors of 42938 and 42958 and find the biggest common factor number .

Step-1: Prime Factorization of 42938

Prime factors of 42938 are 2, 7, 3067. Prime factorization of 42938 in exponential form is:

42938 = 2¹ × 7¹ × 3067¹

Step-2: Prime Factorization of 42958

Prime factors of 42958 are 2, 47, 457. Prime factorization of 42958 in exponential form is:

42958 = 2¹ × 47¹ × 457¹

Step-3: Factors of 42938

List of positive integer factors of 42938 that divides 42938 without a remainder.

1, 2, 7, 14, 3067, 6134, 21469

Step-4: Factors of 42958

List of positive integer factors of 42958 that divides 42938 without a remainder.

1, 2, 47, 94, 457, 914, 21479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42938 and 42958. The biggest common factor number is the GCF number.
So the greatest common factor 42938 and 42958 is 2.

Also check out the Least Common Multiple of 42938 and 42958