What is the Greatest Common Factor of 70946 and 70952?

Greatest common factor (GCF) of 70946 and 70952 is 2.

GCF(70946,70952) = 2

We will now calculate the prime factors of 70946 and 70952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70946 and 70952.

How to find the GCF of 70946 and 70952?

We will first find the prime factorization of 70946 and 70952. After we will calculate the factors of 70946 and 70952 and find the biggest common factor number .

Step-1: Prime Factorization of 70946

Prime factors of 70946 are 2, 19, 1867. Prime factorization of 70946 in exponential form is:

70946 = 2¹ × 19¹ × 1867¹

Step-2: 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-3: Factors of 70946

List of positive integer factors of 70946 that divides 70946 without a remainder.

1, 2, 19, 38, 1867, 3734, 35473

Step-4: Factors of 70952

List of positive integer factors of 70952 that divides 70946 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70946 and 70952. The biggest common factor number is the GCF number.
So the greatest common factor 70946 and 70952 is 2.

Also check out the Least Common Multiple of 70946 and 70952