What is the Greatest Common Factor of 70942 and 70952?

Greatest common factor (GCF) of 70942 and 70952 is 2.

GCF(70942,70952) = 2

We will now calculate the prime factors of 70942 and 70952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70942 and 70952.

How to find the GCF of 70942 and 70952?

We will first find the prime factorization of 70942 and 70952. After we will calculate the factors of 70942 and 70952 and find the biggest common factor number .

Step-1: Prime Factorization of 70942

Prime factors of 70942 are 2, 79, 449. Prime factorization of 70942 in exponential form is:

70942 = 2¹ × 79¹ × 449¹

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 70942

List of positive integer factors of 70942 that divides 70942 without a remainder.

1, 2, 79, 158, 449, 898, 35471

Step-4: Factors of 70952

List of positive integer factors of 70952 that divides 70942 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 70942 and 70952. The biggest common factor number is the GCF number.
So the greatest common factor 70942 and 70952 is 2.

Also check out the Least Common Multiple of 70942 and 70952