What is the Greatest Common Factor of 70016 and 70028?

Greatest common factor (GCF) of 70016 and 70028 is 4.

GCF(70016,70028) = 4

We will now calculate the prime factors of 70016 and 70028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70016 and 70028.

How to find the GCF of 70016 and 70028?

We will first find the prime factorization of 70016 and 70028. After we will calculate the factors of 70016 and 70028 and find the biggest common factor number .

Step-1: Prime Factorization of 70016

Prime factors of 70016 are 2, 547. Prime factorization of 70016 in exponential form is:

70016 = 2⁷ × 547¹

Step-2: Prime Factorization of 70028

Prime factors of 70028 are 2, 7, 41, 61. Prime factorization of 70028 in exponential form is:

70028 = 2² × 7¹ × 41¹ × 61¹

Step-3: Factors of 70016

List of positive integer factors of 70016 that divides 70016 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 547, 1094, 2188, 4376, 8752, 17504, 35008

Step-4: Factors of 70028

List of positive integer factors of 70028 that divides 70016 without a remainder.

1, 2, 4, 7, 14, 28, 41, 61, 82, 122, 164, 244, 287, 427, 574, 854, 1148, 1708, 2501, 5002, 10004, 17507, 35014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70016 and 70028. The biggest common factor number is the GCF number.
So the greatest common factor 70016 and 70028 is 4.

Also check out the Least Common Multiple of 70016 and 70028