What is the Greatest Common Factor of 70948 and 70960?

Greatest common factor (GCF) of 70948 and 70960 is 4.

GCF(70948,70960) = 4

We will now calculate the prime factors of 70948 and 70960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70948 and 70960.

How to find the GCF of 70948 and 70960?

We will first find the prime factorization of 70948 and 70960. After we will calculate the factors of 70948 and 70960 and find the biggest common factor number .

Step-1: Prime Factorization of 70948

Prime factors of 70948 are 2, 17737. Prime factorization of 70948 in exponential form is:

70948 = 2² × 17737¹

Step-2: Prime Factorization of 70960

Prime factors of 70960 are 2, 5, 887. Prime factorization of 70960 in exponential form is:

70960 = 2⁴ × 5¹ × 887¹

Step-3: Factors of 70948

List of positive integer factors of 70948 that divides 70948 without a remainder.

1, 2, 4, 17737, 35474

Step-4: Factors of 70960

List of positive integer factors of 70960 that divides 70948 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 887, 1774, 3548, 4435, 7096, 8870, 14192, 17740, 35480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70948 and 70960. The biggest common factor number is the GCF number.
So the greatest common factor 70948 and 70960 is 4.

Also check out the Least Common Multiple of 70948 and 70960