What is the Greatest Common Factor of 10952 and 10970?

Greatest common factor (GCF) of 10952 and 10970 is 2.

GCF(10952,10970) = 2

We will now calculate the prime factors of 10952 and 10970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10952 and 10970.

How to find the GCF of 10952 and 10970?

We will first find the prime factorization of 10952 and 10970. After we will calculate the factors of 10952 and 10970 and find the biggest common factor number .

Step-1: Prime Factorization of 10952

Prime factors of 10952 are 2, 37. Prime factorization of 10952 in exponential form is:

10952 = 2³ × 37²

Step-2: Prime Factorization of 10970

Prime factors of 10970 are 2, 5, 1097. Prime factorization of 10970 in exponential form is:

10970 = 2¹ × 5¹ × 1097¹

Step-3: Factors of 10952

List of positive integer factors of 10952 that divides 10952 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296, 1369, 2738, 5476

Step-4: Factors of 10970

List of positive integer factors of 10970 that divides 10952 without a remainder.

1, 2, 5, 10, 1097, 2194, 5485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10952 and 10970. The biggest common factor number is the GCF number.
So the greatest common factor 10952 and 10970 is 2.

Also check out the Least Common Multiple of 10952 and 10970