What is the Greatest Common Factor of 70966 and 70978?

Greatest common factor (GCF) of 70966 and 70978 is 2.

GCF(70966,70978) = 2

We will now calculate the prime factors of 70966 and 70978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70966 and 70978.

How to find the GCF of 70966 and 70978?

We will first find the prime factorization of 70966 and 70978. After we will calculate the factors of 70966 and 70978 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70978

Prime factors of 70978 are 2, 23, 1543. Prime factorization of 70978 in exponential form is:

70978 = 2¹ × 23¹ × 1543¹

Step-3: Factors of 70966

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

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

Step-4: Factors of 70978

List of positive integer factors of 70978 that divides 70966 without a remainder.

1, 2, 23, 46, 1543, 3086, 35489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70966 and 70978. The biggest common factor number is the GCF number.
So the greatest common factor 70966 and 70978 is 2.

Also check out the Least Common Multiple of 70966 and 70978