What is the Greatest Common Factor of 70952 and 70968?

Greatest common factor (GCF) of 70952 and 70968 is 8.

GCF(70952,70968) = 8

We will now calculate the prime factors of 70952 and 70968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70952 and 70968.

How to find the GCF of 70952 and 70968?

We will first find the prime factorization of 70952 and 70968. After we will calculate the factors of 70952 and 70968 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 70968

Prime factors of 70968 are 2, 3, 2957. Prime factorization of 70968 in exponential form is:

70968 = 2³ × 3¹ × 2957¹

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 70968

List of positive integer factors of 70968 that divides 70952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2957, 5914, 8871, 11828, 17742, 23656, 35484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70952 and 70968. The biggest common factor number is the GCF number.
So the greatest common factor 70952 and 70968 is 8.

Also check out the Least Common Multiple of 70952 and 70968