What is the Greatest Common Factor of 62514 and 62522?

Greatest common factor (GCF) of 62514 and 62522 is 2.

GCF(62514,62522) = 2

We will now calculate the prime factors of 62514 and 62522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62514 and 62522.

How to find the GCF of 62514 and 62522?

We will first find the prime factorization of 62514 and 62522. After we will calculate the factors of 62514 and 62522 and find the biggest common factor number .

Step-1: Prime Factorization of 62514

Prime factors of 62514 are 2, 3, 23, 151. Prime factorization of 62514 in exponential form is:

62514 = 2¹ × 3² × 23¹ × 151¹

Step-2: Prime Factorization of 62522

Prime factors of 62522 are 2, 43, 727. Prime factorization of 62522 in exponential form is:

62522 = 2¹ × 43¹ × 727¹

Step-3: Factors of 62514

List of positive integer factors of 62514 that divides 62514 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 151, 207, 302, 414, 453, 906, 1359, 2718, 3473, 6946, 10419, 20838, 31257

Step-4: Factors of 62522

List of positive integer factors of 62522 that divides 62514 without a remainder.

1, 2, 43, 86, 727, 1454, 31261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62514 and 62522. The biggest common factor number is the GCF number.
So the greatest common factor 62514 and 62522 is 2.

Also check out the Least Common Multiple of 62514 and 62522