What is the Greatest Common Factor of 52960 and 52970?

Greatest common factor (GCF) of 52960 and 52970 is 10.

GCF(52960,52970) = 10

We will now calculate the prime factors of 52960 and 52970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52960 and 52970.

How to find the GCF of 52960 and 52970?

We will first find the prime factorization of 52960 and 52970. After we will calculate the factors of 52960 and 52970 and find the biggest common factor number .

Step-1: Prime Factorization of 52960

Prime factors of 52960 are 2, 5, 331. Prime factorization of 52960 in exponential form is:

52960 = 2⁵ × 5¹ × 331¹

Step-2: Prime Factorization of 52970

Prime factors of 52970 are 2, 5, 5297. Prime factorization of 52970 in exponential form is:

52970 = 2¹ × 5¹ × 5297¹

Step-3: Factors of 52960

List of positive integer factors of 52960 that divides 52960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 331, 662, 1324, 1655, 2648, 3310, 5296, 6620, 10592, 13240, 26480

Step-4: Factors of 52970

List of positive integer factors of 52970 that divides 52960 without a remainder.

1, 2, 5, 10, 5297, 10594, 26485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52960 and 52970. The biggest common factor number is the GCF number.
So the greatest common factor 52960 and 52970 is 10.

Also check out the Least Common Multiple of 52960 and 52970