What is the Greatest Common Factor of 52998 and 53009?

Greatest common factor (GCF) of 52998 and 53009 is 11.

GCF(52998,53009) = 11

We will now calculate the prime factors of 52998 and 53009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52998 and 53009.

How to find the GCF of 52998 and 53009?

We will first find the prime factorization of 52998 and 53009. After we will calculate the factors of 52998 and 53009 and find the biggest common factor number .

Step-1: Prime Factorization of 52998

Prime factors of 52998 are 2, 3, 11, 73. Prime factorization of 52998 in exponential form is:

52998 = 2¹ × 3¹ × 11² × 73¹

Step-2: Prime Factorization of 53009

Prime factors of 53009 are 11, 61, 79. Prime factorization of 53009 in exponential form is:

53009 = 11¹ × 61¹ × 79¹

Step-3: Factors of 52998

List of positive integer factors of 52998 that divides 52998 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 73, 121, 146, 219, 242, 363, 438, 726, 803, 1606, 2409, 4818, 8833, 17666, 26499

Step-4: Factors of 53009

List of positive integer factors of 53009 that divides 52998 without a remainder.

1, 11, 61, 79, 671, 869, 4819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52998 and 53009. The biggest common factor number is the GCF number.
So the greatest common factor 52998 and 53009 is 11.

Also check out the Least Common Multiple of 52998 and 53009