What is the Greatest Common Factor of 52982 and 53002?

Greatest common factor (GCF) of 52982 and 53002 is 2.

GCF(52982,53002) = 2

We will now calculate the prime factors of 52982 and 53002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52982 and 53002.

How to find the GCF of 52982 and 53002?

We will first find the prime factorization of 52982 and 53002. After we will calculate the factors of 52982 and 53002 and find the biggest common factor number .

Step-1: Prime Factorization of 52982

Prime factors of 52982 are 2, 59, 449. Prime factorization of 52982 in exponential form is:

52982 = 2¹ × 59¹ × 449¹

Step-2: Prime Factorization of 53002

Prime factors of 53002 are 2, 26501. Prime factorization of 53002 in exponential form is:

53002 = 2¹ × 26501¹

Step-3: Factors of 52982

List of positive integer factors of 52982 that divides 52982 without a remainder.

1, 2, 59, 118, 449, 898, 26491

Step-4: Factors of 53002

List of positive integer factors of 53002 that divides 52982 without a remainder.

1, 2, 26501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52982 and 53002. The biggest common factor number is the GCF number.
So the greatest common factor 52982 and 53002 is 2.

Also check out the Least Common Multiple of 52982 and 53002