What is the Greatest Common Factor of 70960 and 70970?

Greatest common factor (GCF) of 70960 and 70970 is 10.

GCF(70960,70970) = 10

We will now calculate the prime factors of 70960 and 70970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70960 and 70970.

How to find the GCF of 70960 and 70970?

We will first find the prime factorization of 70960 and 70970. After we will calculate the factors of 70960 and 70970 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70970

Prime factors of 70970 are 2, 5, 47, 151. Prime factorization of 70970 in exponential form is:

70970 = 2¹ × 5¹ × 47¹ × 151¹

Step-3: Factors of 70960

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

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

Step-4: Factors of 70970

List of positive integer factors of 70970 that divides 70960 without a remainder.

1, 2, 5, 10, 47, 94, 151, 235, 302, 470, 755, 1510, 7097, 14194, 35485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70960 and 70970. The biggest common factor number is the GCF number.
So the greatest common factor 70960 and 70970 is 10.

Also check out the Least Common Multiple of 70960 and 70970