What is the Greatest Common Factor of 70048 and 70062?

Greatest common factor (GCF) of 70048 and 70062 is 2.

GCF(70048,70062) = 2

We will now calculate the prime factors of 70048 and 70062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70048 and 70062.

How to find the GCF of 70048 and 70062?

We will first find the prime factorization of 70048 and 70062. After we will calculate the factors of 70048 and 70062 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70062

Prime factors of 70062 are 2, 3, 11677. Prime factorization of 70062 in exponential form is:

70062 = 2¹ × 3¹ × 11677¹

Step-3: Factors of 70048

List of positive integer factors of 70048 that divides 70048 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

Step-4: Factors of 70062

List of positive integer factors of 70062 that divides 70048 without a remainder.

1, 2, 3, 6, 11677, 23354, 35031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70048 and 70062. The biggest common factor number is the GCF number.
So the greatest common factor 70048 and 70062 is 2.

Also check out the Least Common Multiple of 70048 and 70062