What is the Greatest Common Factor of 70938 and 70952?

Greatest common factor (GCF) of 70938 and 70952 is 14.

GCF(70938,70952) = 14

We will now calculate the prime factors of 70938 and 70952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70938 and 70952.

How to find the GCF of 70938 and 70952?

We will first find the prime factorization of 70938 and 70952. After we will calculate the factors of 70938 and 70952 and find the biggest common factor number .

Step-1: Prime Factorization of 70938

Prime factors of 70938 are 2, 3, 7, 563. Prime factorization of 70938 in exponential form is:

70938 = 2¹ × 3² × 7¹ × 563¹

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 70938

List of positive integer factors of 70938 that divides 70938 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 563, 1126, 1689, 3378, 3941, 5067, 7882, 10134, 11823, 23646, 35469

Step-4: Factors of 70952

List of positive integer factors of 70952 that divides 70938 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 70938 and 70952. The biggest common factor number is the GCF number.
So the greatest common factor 70938 and 70952 is 14.

Also check out the Least Common Multiple of 70938 and 70952