What is the Greatest Common Factor of 52984 and 52990?

Greatest common factor (GCF) of 52984 and 52990 is 2.

GCF(52984,52990) = 2

We will now calculate the prime factors of 52984 and 52990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52984 and 52990.

How to find the GCF of 52984 and 52990?

We will first find the prime factorization of 52984 and 52990. After we will calculate the factors of 52984 and 52990 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52990

Prime factors of 52990 are 2, 5, 7, 757. Prime factorization of 52990 in exponential form is:

52990 = 2¹ × 5¹ × 7¹ × 757¹

Step-3: Factors of 52984

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

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

Step-4: Factors of 52990

List of positive integer factors of 52990 that divides 52984 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 757, 1514, 3785, 5299, 7570, 10598, 26495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52984 and 52990. The biggest common factor number is the GCF number.
So the greatest common factor 52984 and 52990 is 2.

Also check out the Least Common Multiple of 52984 and 52990