What is the Greatest Common Factor of 53515 and 53522?

Greatest common factor (GCF) of 53515 and 53522 is 7.

GCF(53515,53522) = 7

We will now calculate the prime factors of 53515 and 53522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53515 and 53522.

How to find the GCF of 53515 and 53522?

We will first find the prime factorization of 53515 and 53522. After we will calculate the factors of 53515 and 53522 and find the biggest common factor number .

Step-1: Prime Factorization of 53515

Prime factors of 53515 are 5, 7, 11, 139. Prime factorization of 53515 in exponential form is:

53515 = 5¹ × 7¹ × 11¹ × 139¹

Step-2: Prime Factorization of 53522

Prime factors of 53522 are 2, 7, 3823. Prime factorization of 53522 in exponential form is:

53522 = 2¹ × 7¹ × 3823¹

Step-3: Factors of 53515

List of positive integer factors of 53515 that divides 53515 without a remainder.

1, 5, 7, 11, 35, 55, 77, 139, 385, 695, 973, 1529, 4865, 7645, 10703

Step-4: Factors of 53522

List of positive integer factors of 53522 that divides 53515 without a remainder.

1, 2, 7, 14, 3823, 7646, 26761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53515 and 53522. The biggest common factor number is the GCF number.
So the greatest common factor 53515 and 53522 is 7.

Also check out the Least Common Multiple of 53515 and 53522