What is the Greatest Common Factor of 49008 and 49028?

Greatest common factor (GCF) of 49008 and 49028 is 4.

GCF(49008,49028) = 4

We will now calculate the prime factors of 49008 and 49028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49008 and 49028.

How to find the GCF of 49008 and 49028?

We will first find the prime factorization of 49008 and 49028. After we will calculate the factors of 49008 and 49028 and find the biggest common factor number .

Step-1: Prime Factorization of 49008

Prime factors of 49008 are 2, 3, 1021. Prime factorization of 49008 in exponential form is:

49008 = 2⁴ × 3¹ × 1021¹

Step-2: 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-3: Factors of 49008

List of positive integer factors of 49008 that divides 49008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1021, 2042, 3063, 4084, 6126, 8168, 12252, 16336, 24504

Step-4: Factors of 49028

List of positive integer factors of 49028 that divides 49008 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49008 and 49028. The biggest common factor number is the GCF number.
So the greatest common factor 49008 and 49028 is 4.

Also check out the Least Common Multiple of 49008 and 49028