What is the Greatest Common Factor of 52966 and 52984?

Greatest common factor (GCF) of 52966 and 52984 is 2.

GCF(52966,52984) = 2

We will now calculate the prime factors of 52966 and 52984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52966 and 52984.

How to find the GCF of 52966 and 52984?

We will first find the prime factorization of 52966 and 52984. After we will calculate the factors of 52966 and 52984 and find the biggest common factor number .

Step-1: Prime Factorization of 52966

Prime factors of 52966 are 2, 71, 373. Prime factorization of 52966 in exponential form is:

52966 = 2¹ × 71¹ × 373¹

Step-2: Prime Factorization of 52984

Prime factors of 52984 are 2, 37, 179. Prime factorization of 52984 in exponential form is:

52984 = 2³ × 37¹ × 179¹

Step-3: Factors of 52966

List of positive integer factors of 52966 that divides 52966 without a remainder.

1, 2, 71, 142, 373, 746, 26483

Step-4: Factors of 52984

List of positive integer factors of 52984 that divides 52966 without a remainder.

1, 2, 4, 8, 37, 74, 148, 179, 296, 358, 716, 1432, 6623, 13246, 26492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52966 and 52984. The biggest common factor number is the GCF number.
So the greatest common factor 52966 and 52984 is 2.

Also check out the Least Common Multiple of 52966 and 52984