What is the Greatest Common Factor of 52990 and 52997?

Greatest common factor (GCF) of 52990 and 52997 is 7.

GCF(52990,52997) = 7

We will now calculate the prime factors of 52990 and 52997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52990 and 52997.

How to find the GCF of 52990 and 52997?

We will first find the prime factorization of 52990 and 52997. After we will calculate the factors of 52990 and 52997 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52997

Prime factors of 52997 are 7, 67, 113. Prime factorization of 52997 in exponential form is:

52997 = 7¹ × 67¹ × 113¹

Step-3: Factors of 52990

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

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

Step-4: Factors of 52997

List of positive integer factors of 52997 that divides 52990 without a remainder.

1, 7, 67, 113, 469, 791, 7571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52990 and 52997. The biggest common factor number is the GCF number.
So the greatest common factor 52990 and 52997 is 7.

Also check out the Least Common Multiple of 52990 and 52997