What is the Greatest Common Factor of 70040 and 70048?

Greatest common factor (GCF) of 70040 and 70048 is 8.

GCF(70040,70048) = 8

We will now calculate the prime factors of 70040 and 70048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70040 and 70048.

How to find the GCF of 70040 and 70048?

We will first find the prime factorization of 70040 and 70048. After we will calculate the factors of 70040 and 70048 and find the biggest common factor number .

Step-1: Prime Factorization of 70040

Prime factors of 70040 are 2, 5, 17, 103. Prime factorization of 70040 in exponential form is:

70040 = 2³ × 5¹ × 17¹ × 103¹

Step-2: Prime Factorization of 70048

Prime factors of 70048 are 2, 11, 199. Prime factorization of 70048 in exponential form is:

70048 = 2⁵ × 11¹ × 199¹

Step-3: Factors of 70040

List of positive integer factors of 70040 that divides 70040 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 103, 136, 170, 206, 340, 412, 515, 680, 824, 1030, 1751, 2060, 3502, 4120, 7004, 8755, 14008, 17510, 35020

Step-4: Factors of 70048

List of positive integer factors of 70048 that divides 70040 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 199, 352, 398, 796, 1592, 2189, 3184, 4378, 6368, 8756, 17512, 35024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70040 and 70048. The biggest common factor number is the GCF number.
So the greatest common factor 70040 and 70048 is 8.

Also check out the Least Common Multiple of 70040 and 70048