What is the Greatest Common Factor of 62514 and 62528?

Greatest common factor (GCF) of 62514 and 62528 is 2.

GCF(62514,62528) = 2

We will now calculate the prime factors of 62514 and 62528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62514 and 62528.

How to find the GCF of 62514 and 62528?

We will first find the prime factorization of 62514 and 62528. After we will calculate the factors of 62514 and 62528 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 62528

Prime factors of 62528 are 2, 977. Prime factorization of 62528 in exponential form is:

62528 = 2⁶ × 977¹

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 62528

List of positive integer factors of 62528 that divides 62514 without a remainder.

1, 2, 4, 8, 16, 32, 64, 977, 1954, 3908, 7816, 15632, 31264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62514 and 62528. The biggest common factor number is the GCF number.
So the greatest common factor 62514 and 62528 is 2.

Also check out the Least Common Multiple of 62514 and 62528