What is the Greatest Common Factor of 49034 and 49042?

Greatest common factor (GCF) of 49034 and 49042 is 2.

GCF(49034,49042) = 2

We will now calculate the prime factors of 49034 and 49042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49034 and 49042.

How to find the GCF of 49034 and 49042?

We will first find the prime factorization of 49034 and 49042. After we will calculate the factors of 49034 and 49042 and find the biggest common factor number .

Step-1: Prime Factorization of 49034

Prime factors of 49034 are 2, 24517. Prime factorization of 49034 in exponential form is:

49034 = 2¹ × 24517¹

Step-2: Prime Factorization of 49042

Prime factors of 49042 are 2, 7, 31, 113. Prime factorization of 49042 in exponential form is:

49042 = 2¹ × 7¹ × 31¹ × 113¹

Step-3: Factors of 49034

List of positive integer factors of 49034 that divides 49034 without a remainder.

1, 2, 24517

Step-4: Factors of 49042

List of positive integer factors of 49042 that divides 49034 without a remainder.

1, 2, 7, 14, 31, 62, 113, 217, 226, 434, 791, 1582, 3503, 7006, 24521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49034 and 49042. The biggest common factor number is the GCF number.
So the greatest common factor 49034 and 49042 is 2.

Also check out the Least Common Multiple of 49034 and 49042