What is the Greatest Common Factor of 70952 and 70966?

Greatest common factor (GCF) of 70952 and 70966 is 14.

GCF(70952,70966) = 14

We will now calculate the prime factors of 70952 and 70966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70952 and 70966.

How to find the GCF of 70952 and 70966?

We will first find the prime factorization of 70952 and 70966. After we will calculate the factors of 70952 and 70966 and find the biggest common factor number .

Step-1: Prime Factorization of 70952

Prime factors of 70952 are 2, 7, 181. Prime factorization of 70952 in exponential form is:

70952 = 2³ × 7² × 181¹

Step-2: Prime Factorization of 70966

Prime factors of 70966 are 2, 7, 37, 137. Prime factorization of 70966 in exponential form is:

70966 = 2¹ × 7¹ × 37¹ × 137¹

Step-3: Factors of 70952

List of positive integer factors of 70952 that divides 70952 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 181, 196, 362, 392, 724, 1267, 1448, 2534, 5068, 8869, 10136, 17738, 35476

Step-4: Factors of 70966

List of positive integer factors of 70966 that divides 70952 without a remainder.

1, 2, 7, 14, 37, 74, 137, 259, 274, 518, 959, 1918, 5069, 10138, 35483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70952 and 70966. The biggest common factor number is the GCF number.
So the greatest common factor 70952 and 70966 is 14.

Also check out the Least Common Multiple of 70952 and 70966