What is the Greatest Common Factor of 49028 and 49034?

Greatest common factor (GCF) of 49028 and 49034 is 2.

GCF(49028,49034) = 2

We will now calculate the prime factors of 49028 and 49034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49028 and 49034.

How to find the GCF of 49028 and 49034?

We will first find the prime factorization of 49028 and 49034. After we will calculate the factors of 49028 and 49034 and find the biggest common factor number .

Step-1: Prime Factorization of 49028

Prime factors of 49028 are 2, 7, 17, 103. Prime factorization of 49028 in exponential form is:

49028 = 2² × 7¹ × 17¹ × 103¹

Step-2: Prime Factorization of 49034

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

49034 = 2¹ × 24517¹

Step-3: Factors of 49028

List of positive integer factors of 49028 that divides 49028 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 103, 119, 206, 238, 412, 476, 721, 1442, 1751, 2884, 3502, 7004, 12257, 24514

Step-4: Factors of 49034

List of positive integer factors of 49034 that divides 49028 without a remainder.

1, 2, 24517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49028 and 49034. The biggest common factor number is the GCF number.
So the greatest common factor 49028 and 49034 is 2.

Also check out the Least Common Multiple of 49028 and 49034